A vessel (2) for handling subsea equipment comprising a subsea equipment hoist system including a winch and a hoist cable (3) for lowering and retrieving subsea equipment (5) in a hoist area of the vessel, a subsea equipment motion restraining and guidance system for restraining subsea equipment motion relative to the vessel in the hoist area. The subsea equipment motion restraining and guidance system includes a main trolley (7), an auxiliary trolley (8) and a vertical trolley guide structure (9) mounted on the hull of the vessel that allows for vertical travel of the trolleys and further a top end engagement member (10), which is movably supported by said main trolley and which is adapted to engage on a top end of the subsea equipment, and one or more rail engaging members (3a) mounted on said auxiliary trolley, each adapted to engage on a vertical rail (11) mounted on said subsea equipment as said subsea equipment passes vertically by said auxiliary trolley.