A bendable torque wrench includes: a shank; a tubular body whose front end is angularly displaceable with respect to the shank about an axis defined by a first pivotal connection end of the shank; an abutting block located on one side of the tubular body, a the front end of the abutting block has a convexly curved abutting surface; and a detent member whose front end is pivotally connected to a second pivotal connection end of the shank and whose rear end forms a convexly curved contact surface in elastic contact with the curved abutting surface of the abutting block. The torque wrench bends, or collapses, rapidly when the torque applied to the torque wrench reaches a preset torque value.