The 21-year-old striker has penned a season-long agreement with the League One club.
Anderson joined Palace from Barton Rovers in 2015 before spending time on loan with Doncaster Rovers but will now link up with Phil Parkinson at the Macron Stadium.
.@Keshman_ has joined @OfficialBWFC on loan until the end of the season.
Good luck Keshi! pic.twitter.com/yfcIX3UaDX
— Crystal Palace F.C. (@CPFC) August 31, 2016