The present invention is a corner molding particularly useful in the construction of juvenile furniture. The corner molding has an elongate body with an interior, a first rounded side, and a second side opposite the rounded side, with a pair of acutely V-shaped channels extending along the length of the body. The first rounded side and each of the V-shaped channels preferably form a pair of rounded outer edges therebetween. Each V-shaped channel receives a substantially rectangular edge of a planar member to form a rounded corner such that the planar members are held substantially perpendicular relative to each other, with smooth joints between the outer edges and planar members. The present invention further provides a method of attaching a pair of planar members within acutely V-shaped channels of a corner molding to thereby provide a rounded corner having smooth joints between the planar members and the corner molding.