In a background-art medical gripping device, when a wall surface of an in vivo tissue has a large tear, a side portion of the tear can be gripped by the gripping device, but the other side portion opposed to the side portion cannot be gripped simultaneously. Therefore, to close the tear, complicated operation is required to be performed using plural gripping devices. A medical gripping device according to the present invention includes a fixed clip, a pair of movable clips made from an elastic material and provided to face the fixed clip, the movable clips having lower ends fixed to the fixed clip and the other ends opened, and a control mechanism which shifts from each other a timing at which a gripping target is gripped between one of the movable clips and the fixed clip and a timing at which the target is gripped between the other movable clip and the fixed clip.