Rangers played a total of 47 competitive matches during the 1949–50 season.
The side won the league with a one-point lead over second placed Hibernian, after winning 22 of the 30 matches.
In the cup competitions Rangers were successful.
The Scottish Cup was won thanks to a 3–0 win over East Fife with goals from Willie Findlay and a brace from Willie Thornton.
The club exited the League Cup at the semi-final stage to East Fife.