During the close season Rangers spent heavily in the transfer market, bringing in Davie Cooper from Clydebank for £100,000 and Gordon Smith from Kilmarnock for £65,000.
However, even with these expensive signings the side did not make the best start to the league campaign, losing the opening two matches to Aberdeen and Hibernian.
Rangers had been 2–0 down at half-time but recovered to win the game after outclassing Jock Stein's side in the second 45 minutes.
Rangers dropped seven points from twenty-one but held on winning the final four fixtures and the league.
Goals from season new boys Davie Cooper and Gordon Smith completed the first leg of the treble.