The Ibrox club currently sit one point clear of rivals Celtic with two matches remaining, starting with Dundee United tonight, and Smith feels that if they can maintain their lead, then the players will be rewarded for a fine effort this campaign.
"We have a determined group," Smith said.
"They have been called upon to show that over the season.
"It is to the players' credit, when you think that they've been asked to do it week in, week out without a break.
"We've had to overcome injuries, suspensions, players moving from one position to another, but they have handled all that very well.
"We have two games to go now to get a league championship. Obviously I'm biased, but for the amount that they have put in, they deserve a level of success."