With the outbreak of the War on 3 September 1939, the season was suspended after five rounds of games played in the Scottish League Division One.
The league was not officially competed for until season 1946–47 but there were unofficial regional leagues played during these years.
This saw the club play what was known as wartime football.
Rangers played a total of five official competitive matches during the 1939–40 season.
All results are written with Rangers' score first.