Rangers played a total of 25 competitive matches during the 1897–98 season.
They finished third in the Scottish League Division One with a record of 13 wins from 18 matches.
The club won the Scottish Cup that season.
A 2–0 victory of Kilmarnock on 26 March 1898 saw them win the trophy for the second time in two seasons.
All results are written with Rangers' score first.