I think your husband is trying to be more protective. He might be so caring that he does not want you to be out all by yourself. This is quite common with couples. However, you can talk to him about it and maybe he would be less protective.
You need to talk to him asap because he should trust you!!!!!!!! Btw have you ever done anything to make him act like this?(Not trying to be nosy or anything).Also he probably has control issues or maybe he's the jealous type.