Printant took charge of the first team along with goalkeeper coach Herve Sekli following the sacking of Claude Makelele earlier this month.
The 53-year-old masterminded a 2-0 victory over Montpellier in his first game in charge and then a goalless draw with Lyon last weekend.
Bastia moved out of the relegation zone as a result of picking up those four points and Printant has been rewarded with a deal until the end of the campaign.
Former France midfielder Makelele was dismissed after only five months at the helm following a poor start to the season, which saw the club sitting second bottom of the table.
Bastia, who are now 15th in the table, travel to Reims for a Ligue 1 encounter on Saturday.