Rangers played a total of 37 competitive matches during the 1906–07 season.
The side finished third in the league, ten points behind champions Celtic, after winning 19 of the 34 matches.
The Scottish Cup campaign was ended at the hands of the league champions after a 3–0 home defeat.
Rangers had beaten Falkirk and Galston en route to the quarter-finals.
All results are written with Rangers' score first.