The invention discloses a two-type positioning device for a tapping machine. The device comprises a fixture mechanism and a clamping driving mechanism that are arranged on a base. The fixture mechanism includes two fixture units and two telescoping rod units that can be driven by the clamping driving mechanism to drive the fixture units to clamp nut parts, wherein each of the telescoping rod unitscomprises a pushing arm and a support push shaft rod that are telescopically pivoted between a fixture unit and the clamping driving mechanism, and a forced tightening member that is installed on thesupport push shaft rod and behind the pushing arm and a spring mounted between the pushing arm and the support push shaft rod. Through a structural design of the telescoping rod units, the fixture mechanism can be changed between a semi-clamping state and a forced tightening state, it is convenient for a skewed nut part to be righted under the semi-clamping state, wear between a righted nut partand a fixture is greatly reduced, and the quality of nut processing is improved.