The 1977–78 season was the 76th season in which Dundee competed at a Scottish national level, playing in the First Division for the second consecutive season. The club would again fail to achieve promotion, finishing in 3rd place for the second straight year. Dundee would also compete in both the Scottish League Cup and the Scottish Cup, where they would be eliminated by Queen of the South in the 3rd round of the League Cup, and by Celtic in the 3rd round of the Scottish Cup.