Antoine-Curier has missed much of the season through injury, but played with his national side Guadeloupe in the Caribbean Cup in December.
The 27-year-old was on loan at Accies from Dundee last season, scoring eight goals in 28 appearances.
In July, Hamilton had a bid rejected by Dundee for the forward, who was contracted until the summer of 2011 before his premature release.
Prior to his switch to Dens Park, Antoine-Curier played at Hibernian where he spent one year.
He moved to Scotland in from August 2007 after a successful spell in Norway, with Vard Haugesund and FK Haugesund.
Source: BBC Sport