The invention discloses an eccentric double-head drilling machine. The eccentric double-head drilling machine comprises a rack and a circular mold clamp arranged on the rack. The rack is provided with a workbench moving relative to the axial direction of the circular mold clamp. The workbench is provided with an eccentric device. The eccentric device is connected with a station conversion device, and the station conversion device is connected with two drill bits. The eccentric device enables the drill bits to move relative to the radial direction of the circular mold clamp, and the station conversion device adjusts the drill bits to rotate in the axial direction. According to the eccentric double-head drilling machine, by adjusting the working stations of the drill bits, same plane symmetrical machining is converted into different plane symmetrical machining, as for the working stations of the drill bits, the drill bits stretch across the different sides of a circular mold from the same side of the circular mold, as an eccentric hole machining face belongs to a slope face, the two drill bits are stressed more uniformly through different plane symmetrical machining, and the precision of machined holes is higher.