The 19-year-old is a French junior international but because he holds dual nationality can change his allegiance in accordance with the rules of world soccer's governing body FIFA.
Bentaleb has played once for France's under-19s in a friendly which means he will not have to go through the official process of changing footballing nationality.
"He has agreed to play for the country of his parents after meeting Algerian Football Federation president Mohamed Raouaraoua," the federation said in a statement.
"He will be called up for the game on March 5 against Slovenia in Blida."
Bentaleb's situation had been the cause of much speculation in the Algerian media in recent weeks.
The teenager broke into the first team at Tottenham just before Christmas after Tim Sherwood replaced Andre Villas-Boas as manager.