Goldie Hawn, Kurt Russell -- Familiar Ring ... of Marriage?

Goldie Hawn and Kurt Russell -- the coolest and arguably most awesome couple in Hollywood -- might have tied the knot?

Goldie and Kurt were cruising through Brentwood Saturday and she was wearing what looks like a wedding band. On the other hand, Kurt's ring finger is bare.

They've been together for more than 30 years ... making their relationship one of the most enduring around.