The south Londoners peppered the Forest goal with a series of tantalisingly close chances in the clash's second 45 minutes, with James McArthur, Christian Benteke and Scott Dann coming closest to levelling after Albert Adomah netted within half an hour.
Andros Townsend unleashed a stunning effort which was well saved by Aro Muric.
You can watch Palace's forward surges and the rest of all the action from tonight's clash at the City Ground by heading to Palace Tv. Do so either by clicking here or 'Palace TV' on your official Palace app. There is post-match reaction from Andros Townsend and Scott Dann as well.