The tow-truck multi-millionaire has been named the preferred bidder by administrators Duff & Phelps.
Miller, 65, has told Gers fans he will protect the club’s history and avoid liquidation.
He said: “It’s a great honour and privilege to have the opportunity to buy Rangers Football Club.
“I respect the club as one of the world’s great sporting institutions and one of the UK’s most venerable football clubs.
“What Rangers, which includes their supporters, players, staff and anyone with the club at heart, have been put through in recent months is a travesty and from what I can see they have been badly let down by a number of individuals.
“This will not happen on my watch should I become the custodian of this great club.”
Miller promised to balance the books and ensure no repeat of the club’s cash crisis.
He said: “Under my stewardship, Rangers will be managed with fiscal discipline such that the club not only conforms to UEFA Financial Fair Play regulations but also such that Rangers will never have to suffer this kind of anguish again.
“From now on, Rangers will live within its means — no excuses. I have fought hard to try and offer Rangers a fresh start and I hope all Rangers fans will continue to rally round the club as we endeavour to leave behind this distressing chapter in the club’s history.
“Finally, and perhaps most importantly, we have worked hard to ensure that there is no loss of history or tradition and there is no liquidation of Rangers Football Club.
“I wouldn’t have it any other way.”
Miller’s £11.2m deal blew the rival Blue Knights out of the water.
But their offer could yet come back into play IF Miller fails to rubber-stamp his offer within the next three weeks.
The Chicago-based businessman is yet to visit Ibrox to see for himself what he’s buying.
However he has held high-level talks with Rangers manager Ally McCoist and outlined his bold plan.
The Gers boss will have further discussions with him over the coming days and could even travel to the States to see him.
By Bruce Pope BBC Sport Wales
Jack Collison scored twice to give West Ham control of their Championship play-off semi-final after the first leg at Cardiff City.
The Welsh midfielder followed up his own shot to head home after good work from Ricardo Vaz Te on the left.
Collison then heaped further misery on his countrymen when his shot took a wicked deflection into the Cardiff net.
Kenny Miller missed a series of half-chances for Cardiff, while Ben Turner had a header cleared off the line.
Though Cardiff won 1-0 at Upton Park on the opening day of the season, Malky Mackay will need to rally his players to produce a much better performance in the return leg on Monday if the Bluebirds are to avoid a fourth play-off disappointment in as many seasons.
Steve Claridge BBC Football Analyst
“It’s very difficult to make a case for Cardiff [to turn the tie around] on this evidence. It’s not like they’ve peppered the goal or had chance after chance. West Ham have been thoroughly professional.”
City lost out to Reading at the semi-final stage last year, were beaten 3-2 by Blackpool in the 2010 final and narrowly missed the play-offs in 2009 on an inferior goal record.
Sam Allardyce’s Hammers were expected to claim one of the automatic promotion places and return to the Premier League at the first time of asking, only to be pipped by Reading and Southampton.
But United have now taken a huge step towards remedying that disappointment and are overwhelming favourites to claim a Wembley final date against Blackpool or Birmingham.
Cardiff nearly drew first blood when Peter Whittingham’s shot was deflected just over the bar, then Miller drew a fine save from Robert Green in the West Ham goal.
But it was the Hammers who took the lead when Vaz Te broke the offside trap on the left before pulling the ball back for Collison, who had his initial effort parried by David Marshall but was able to nod the rebound into the net.
That setback in the ninth minute seemed to rattle the Bluebirds, who were lucky not to concede a second soon after.
First Liam Lawrence dawdled in the area, allowing Vaz Te to dispossess him but he was unable to get a shot away, then James Tomkins was allowed a free header at the back post that went just wide.
Slowly the home side regained their composure and Miller went close again, bending his shot just the wrong side of Green’s left-hand post as the home side caught West Ham on the break.
But the visitors were also showing themselves adept at turning defence into attack and Turner had to be alert to deny Carlton Cole after Mark Hudson lost possession in the middle of the park.
From the resulting corner, Vaz Te flicked on at the near post and, although Turner cleared the initial danger, the ball fell perfectly for Collison to fire in for West Ham’s second, although his shot took a wicked deflection off Lawrence.
The hosts had chances to reduce the deficit early in the second half, with Miller unable to control Lawrence’s raking crossfield pass when through on Green’s goal and Turner seeing his looping header cleared off the line by Cole.
West Ham were still creating the better opportunities, though, and Kevin Nolan should have put the tie beyond Cardiff but headed wide from 10 yards at the near post.
Miller was replaced by Rob Earnshaw, who fired an ambitious volley high and wide. Another volley, this time from Joe Mason, also skewed wide of goal as Turner continued to trouble the West Ham defence at set-pieces.
But the Hammers held firm under some intense late pressure and carry a precious two-goal advantage back to Upton Park for Monday’s return.
(bbc football)
BLACKPOOL-BIRMINGHAM 1-0 (CHAMPIONSHIP PLAY OFF)
By Neil Johnston BBC Sport
An own goal by Curtis Davies earned Blackpool a narrow first-leg lead over Birmingham in an absorbing Championship play-off semi final at Bloomfield Road.
Davies watched in horror as Tom Ince’s long-range attempt cannoned off him and flew into the net past Colin Doyle.
The impressive Stephen Dobbie spurned a fine chance to double the lead as Blackpool dominated the second half.
Marlon King grazed the bar for Blues, who otherwise offered little and will be relieved to trail by only one goal.
Yet for all their impressive attacking play, Blackpool still have much work to do in next Wednesday’s second leg if they are to book a Wembley date.
The tie is still in the balance and Birmingham will be confident of turning the tie on its head in the return at St Andrew’s.
It could have been an even better night for the Tangerines when, on 76 minutes, the evergreen Kevin Phillips sent the raucous home crowd – not to mention boss Ian Holloway – wild within moments of stepping off the bench.
Did you know?
Blackpool are on an amazing run of 10 successive play-off wins – a run that started on 13 May 2001 with a 2-0 victory over Hartlepool in the basement division at Bloomfield Road.
In trademark fashion, the former Blues striker stole a march on his marker to head home Matt Phillips’s fine right-wing cross. But as he wheeled away in celebration the linesman’s flag went up.
Despite the look of anguish on Holloway’s face, replays proved the assistant referee’s decision to have been the right one.
Both teams are looking to make a quickfire return to the Premier League after being relegated together on the final day of last season with 39 points – a tally that would have all but guaranteed top-flight safety this term.
Blackpool finished one point and one place behind Birmingham in the Championship table, and there was little to choose between them in a thrilling first half.
Visiting keeper Doyle caused his manager Chris Hughton a few worries early on when he hurt his right shoulder colliding with a post while keeping out Ian Evatt’s powerful header.
He continued after treatment but the Irishman appeared in some discomfort for the duration of the game, none more so when Dobbie’s 33rd minute effort from distance struck him in the chest.
And Doyle’s shoulder problem appeared to restrict his movement when Blackpool broke the deadlock in the 44th minute. Former Liverpool player Tom Ince’s 22-yard attempt took a cruel deflection off Davies’s foot before creeping through the keeper’s legs and into the net.
It was tough on Birmingham, who were showing few signs of fatigue, despite it being the 61st match of their campaign.
King was unfortunate with a 14th minute overhead kick while Nathan Redmond lost his composure when he found himself within sight of goal a minute later, and former Coventry striker King went close from 16 yards five minutes before the break.
But for the finishing, it was easy to see why these two sides had managed 157 Championship goals between them this season.
Blackpool threatened to double their advantage when Barry Ferguson went close against his former club while the tireless Dobbie spurned a glorious chance when firing wide from close range in the 63rd minute after clever work by Ince.
The visitors created little after the interval although King went agonisingly close in the dying moments when he clipped the bar after finding himself with time and space inside the Blackpool penalty area.
(bbc football)