A mount for attaching an accessory to a firearm that has a mounting rail and a scope with an objective lens. The mount includes a body with a passageway defined by a perimeter. The passageway configured to receive the objective lens within the perimeter while the scope is secured to the firearm. The mount also includes a fastener block to releasably secure the body over a location along the mounting rail. The fastener block is secured to the mount body. The mount also includes an accessory mounting rail supported by the body. The accessory mounting rail supports the accessory.