A pivot head wrenching tool includes a handle, a switch, a pawl, a torsion spring, and a pivotal driving head. The pivot head wrenching tool is operable in a lock mode in which the pivotal driving head is restrained from being pivoted and in an unlock mode in which the pivotal driving head is able to be pivoted. The switch is in a first position and includes a first surface abutted against the pawl as well as the pawl is engaged with a connecting end of the pivotal driving head when the pivot head wrenching tool is in the lock mode. The switch is in a second position and includes a second surface gapped from the pawl as well as the pawl is disengaged from the connecting end of the pivotal driving head when the pivot head wrenching tool is in the unlock mode.