The striker missed a gilt-edged chance to add a third with the score at 2-0.
Mark Warburton’s side took on Dundee in their second game of the Scottish Premiership campaign on Saturday as they looked to bounce back from their opening-day defeat.
They were in impressive form in the first half as goals from Harry Forrester and Miller gave them a commanding 2-0 lead.
Rangers' Harry Forrester reacts
A goal from Mark O’Hara just before the break changing the momentum though, with both sides playing out a terse second half as a result.
Before his strike, Miller had missed a glorious chance to make the scoreline 3-0, and he has admitted he should have done just that.
“We played well, missed a wee chance when I was through one-on-one just before they scored and I should have done better with it,” he told the club’s official website.
“That probably kills the game off. They probably don’t even get that goal following that, but it was a huge win, the first of the season, but we definitely need to look at it and get better.”
Rangers' Kenny Miller
Rangers will now be hoping they can build in this victory and discover their clinical side as the season progresses.
There is a lot of pressure on their shoulders at present, with many fans hoping to see their side challenge Celtic for the title.
If they are going to do that, they will need to take their chances better than they did against Dundee.
Rangers' manager Mark Warburton