The 31-year-old was a free agent after leaving Shrewsbury this summer, having scored 16 goals in 95 outings during two years with Town.
Akpa Akpro began his career at Toulouse and has had spells at Grimsby, Rochdale, Tranmere Rovers and Bury since moving to England in 2008.
The Bees have not disclosed the length of the Frenchman's deal at The Hive.
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League Two side Barnet have signed striker Jean-Louis Akpa Akpro following a trial spell.