A vise mechanism is adapted to be incorporated in a cutting machine. A base is adapted to support a work to be cut by the cutting machine. A supporting rod is disposed on the base and extend in a first direction. A bracket is provided on the supporting rod and extending in a second direction perpendicular to the first direction. A vise rod is extending in the first direction while slidably penetrating the bracket in the first direction. A first engagement member is formed on a circumferential face of the vise rod. A damper is provided on a lower end portion of the vise rod and adapted to come in contact with the work supported on the base. A locking member is provided in the bracket and formed with a slot extending in a third direction perpendicular to the first direction to which the vise rod is idly fitted, so that the locking member is slidable within the bracket in the third direction while intersecting with the vise rod. A second engagement member is formed on an inner face of the slot at a first end thereof in the third direction, and adapted to engage with the first engagement portion. An operating member is operable to move the locking member in the third direction between a first position at which the first engagement member engages with the second engagement member and a second position at which an inner face of the slot at a second end thereof in the third direction comes in contact with the circumferential face of the vise rod. An urging member is urging the locking member toward the second position.