This was another disappointing season for Rangers in terms of trophies, but manager Bill Struth and the supporters took heart from the promise of the younger players at the club.
The Reserve team, in fact, made almost a clean sweep of the trophies available to them. They ran away with the Reserve League title, won the Second Eleven Cup and only lost out in the semi-final of the Reserve League Cup to Aberdeen at Pittodrie.
And two of those young players made the breakthrough to the first team. Goalkeeper George Niven and full-back Eric Caldow were the debut boys and both would go on to have fine careers at Ibrox.
The first team were once again runners-up to Hibernian in the league championship race. The Easter Road side were enjoying a real glory period at that stage with their 'Famous Five' foward line causing havoc in defences all over the country.
Rangers, in fact, remained unbeaten against Hibs, drawing 2-2 at Ibrox and 1-1 at Easter Road. But it was against teams like East Fife, Raith Rovers and Dundee that the Light Blues threw away needless points and they finished up four points behind Hibs.
The highlight of Rangers' league campaign, though, was on New Year's Day when they faced Celtic at Parkhead. Playing without skipper Jock Shaw for most of the second half, the Light Blues crushed their old rivals 4-1 with goals from Colin Liddell, Willie Paton (2) and Willie Waddell.
In the Scottish Cup, Rangers made a controversial exit in the fourth round at Fir Park.
After drawing 1-1 with Motherwell at Ibrox, the replay saw a hotly-disputed penalty given against George Young. Motherwell scored with the award and won the match 2-1, going on to beat Dundee 4-0 in the cup final.
In the League Cup, Rangers beat Celtic 3-0 on their way to the final but lost out to Dundee at Hampden. George Young equalised as Rangers trailed 2-1 but Alfie Boyd scored a late winner for Dundee to take the trophy to Dens Park.
The season also saw Rangers continue their series of friendly matches against Arsenal and, for the first time, the clubs met under floodlights, the Gunners winning a great match at Highbury 3-2.
George Young was once again Scotland's captain and made nine appearances in the Dark Blue that season. Other Rangers capped were Bobby Brown, Willie Woodburn, Sammy Cox, Willie Waddell, Ian McColl and Willie Thornton.