In summary, the present invention provides a variable bore ram assembly comprising a first ram and a second ram defining a central circular recess along the same axis as a wellbore. A plurality of packing members and support inserts form first and second packer assemblies define an interlocking connection to surround a tubular good, thereby sealing the wellbore. The rams have been designed to remove common contacts points with the inner wall of the ram cavity to withstand deformation. The first and second ram assemblies have inner sealing faces with cutout portions of elastomeric material to provide additional space for material during a close operation.