Rangers played a total of 51 competitive matches during the 1973–74 season.

This was the club's centenary season, however, the start to the league championship was poor with no goals in the first four home games which left the side with just seven points from their first six league matches.

This early blip meant they were always chasing the title and eventually finished third, five points behind champions Celtic.

The League Cup campaign saw an Old Firm semi-final.

The Scottish Cup did not prove any better as the club exited the competition thanks to a 3–0 defeat to Dundee.