If you are booking via the Budget.com US site, then no insurance would be included by default other than the minimum required by law. You'd have to purchase insurance at the counter separately if needed. Most customers in the US have rental coverage through their personal auto insurance policy and/or their credit cards. If you live outside the US, then it's probably different for you.
Feel free to request a quote via AutoSlash and then PM us with your inquiry id (the number at the bottom of the email you receive) if you'd like us to check for insurance-inclusive rates. You could also check out a site like
RentalCover.com for 3rd party coverage.