France's top security official says four people have been arrested in a jihadist recruiting network, a day after authorities announced the detention of a French suspect in the deadly shooting at a Jewish museum.

French Interior Minister Bernard Cazeneuve said the new arrests took place Monday morning in the Paris region and the south of France.

"We will not give terrorists a chance," Cazeneuve told Europe 1 radio.

A suspected French jihadist who had spent time in Syria was arrested Friday over the deaths of three people at the Belgian museum, and found in possession of firearms, ammunition and a video claiming responsibility for the May 24 attack. Cazeneuve said the suspect, Mehdi Nemmouche, was arrested minutes after he set foot on French soil.