Cazeneuve's statement came following a string of terrorist attacks and hostage crises, which saw 17 people and three gunmen killed since Wednesday.
"We will maintain the high level of vigilance. We are exposed to risks," Cazeneuve said after a government meeting in the French President's residence, as quoted by Le Figaro newspaper. He added that the high level of terror alert will be maintained for several weeks.
After the office of Charlie Hebdo satirical magazine in Paris was attacked by alleged Islamic extremists on Wednesday, French Prime Minister Manuel Valls ordered to raise the terror alert in the Paris region of Ile-de-France to the maximum level.
On Wednesday morning, two gunmen burst into the editorial office of Charlie Hebdo magazine, known for issuing cartoons, ridiculing Islam. The attackers, later identified as brothers Said and Cherif Kouachi, killed 12 people and injured 11, and escaped from the scene. Following two days of nationwide manhunt, the suspects were killed on Friday by French police some 20 miles northeast of Paris.
On Friday, the Montrouge shooter, identified as Amedy Coulibaly, took several people hostage in a kosher food shop in eastern Paris. He shot dead four hostages before being killed in a police assault.
French police are currently hunting for Coulibaly's alleged accomplice, his former partner Hayat Boumeddiene.