If you have a Provider Secured Services account, you can simply log in to submit a claim.
Providers who don't have an account yet can mail a claim to one of the following:
Blue Choice claims
Blue Cross Blue Shield of Michigan
P.O. Box 312500
Detroit, MI 248231-2500
FEP claims
Blue Cross Blue Shield of Michigan
P.O. Box 2599
Detroit, MI 48231-2599
UB-04 claims
Blue Cross Blue Shield of Michigan
P.O. Box 310166
Detroit, MI 48231-0166