A crimping system for a prosthetic heart valve comprises an elongate rigid body and a radially flexible, tubular sock. The body has an inner lumen extending along a central longitudinal axis between an insertion end and an outlet end. The inner lumen has a greater diameter at the insertion end than at the outlet end. The sock is configured to receive a radially compressible prosthetic heart valve in a radially expanded state within the sock and to pull the valve through the inner lumen of the rigid body from the insertion end to the outlet end with the sock being positioned between an outer surface of the valve and an inner surface of the rigid body. The valve is radially compressed by the inner surface of the rigid body as the sock pulls the valve along the longitudinal axis toward the outlet end of the lumen.