Kieran Tierney made it 1-0 for Scotland with a header in the 68th minute of the game at Hampden Park stadium in Glasgow.
Striker Krzysztof Piątek drew Poland level from a penalty in the 94th minute.
The Poles, under their new manager Czesław Michniewicz, put together an unconvincing performance ahead of their crucial clash against Sweden for a spot in the 2022 World Cup in Qatar.
The Polish team will play Sweden at the Silesian Stadium in Chorzów, southern Poland, on March 29.
The 2022 World Cup will be held in Qatar from November 21 to December 18.
(gs)
Source: PAP