Osman said an analysis of rocket debris and other material had shown that the attack had been engineered by Israel, which Sudan views as an enemy.
Several residents living near the factory told Reuters they had heard planes or missiles before there was a huge explosion.
"I heard a sound like a plane or missile and then the sky was lit up and a huge explosion occurred," a resident who declined to be identified said. "There was a big fire and several subsequent explosions."
Two other residents said buildings near the plant had suffered minor damage.
Soldiers blocked access to the gated plant whose main buildings are located away from the main street, making it difficult to assess the damage when a Reuters reporter visited the area after the midnight blast and on Wednesday morning.