A vehicle interior panel includes pieces held together by a snap joint formed when a protrusion of the outer piece is received by a receptacle of the inner piece. The receptacle is formed by a pair of walls extending from a back side of the inner piece, and the protrusion is received between the pair of walls. Oppositely facing bulges engage with oppositely facing grooves to form the joint. Sidewalls of the bulges also engage with angled sidewalls of the opposite piece to form a robust interlocking joint in which multiple pairs of opposing surfaces are engaged with each other to prevent relative movement of the inner and outer pieces in multiple directions. The features that form the snap joint can be molded as integral parts of the pieces being held together without the need for separate clips or fasteners.