What would you do if you were told not to give your insurance info after a car accident that was not your fault?

Always cooperate with an investigation by the police. Your question points out another reason to call the police when you are in an accident. Let the officer assign responsibility. Show the officer your license, registration and insurance card. After he is through with the investigation it will be obvious who is responsible and whose insurance gets to pay for the damage. Taken from www.progressive.com and the back of my insurance card. You must give all of your information to the other person and they have to give all of their information to you and it -must- be correct. Its the law. If the other party is At Fault, even though they have your insurance info, they can't call your insurance and try to lay a claim. That would be insurance fraud and it is illegal. Note that only an official police report can lay fault at the accident. When there is no police involved, as would be the case in a parking lot accident, it is up to the insurance companies. Regardless, information must be exchanged and if it is determined that the other party is at fault by a police report, they cannot lay a claim against your insurance company, even if they have your info. If you are worried about identity theft. There is not much you can do. As I said above. You have to give the proper insurance information to the other person and they have to give it to you. There is no way around this.