A ride ready vehicle-mounted bicycle carrier includes a pair of spaced apart wheel supports and a stabilizing member which is engageable with the bicycle, preferably with one of the bicycle wheels, at a location above the wheel supports. One of the wheel supports is in the form of a pair of spaced apart wheel engagement members which are pivotably mounted to a structural member associated with the carrier, and which are configured to grip the wheel so as to provide initial support for the bicycle on the carrier. The stabilizing member is in the form of a clamp arm mechanism having a base mounted to the structural member and an extendible and retractable arm having a wheel-engaging portion at its outer end, which can be moved into and out of engagement with the wheel. The clamp arm mechanism is located between the wheel support members, and is arranged to apply a vertical downward force on the wheel at a location between the wheel engagement members, to provide a secure three-point engagement of the wheel and thereby to provide stable mounting of the bicycle to the carrier.