A non-ratcheting socket tool for loosening or tightening nuts or bolts, especially when the nut or bolt head is located in a crowded area where there is inadequate space to pivot or rotate a handle of a wrench or ratchet. The gear head socket tool includes a slim streamlined housing including a straight beveled gear coaxially arranged around a sleeve or ring having a plurality of internal nut/bolt gripping wrench teeth, wherein the straight beveled gear teeth mate with beveled pinion gear teeth perpendicular thereto. An extension bar is inserted into the end of the gear head housing perpendicular to the gear head. Rotation of the extension bar with a ratchet, a breaker bar, strong arm or a power tool such as a pneumatic or electric impact wrench, or drill motor provides perpendicular torque to drive the gear head socket rotating the teeth turning the nut or bolt.