An axial compression steel tubular column with internal local restraint and filled with high-strength compound concrete containing normal-strength demolished concrete lumps and a construction process. The axial compression column includes a steel tube (1), high-strength fresh concrete (2), normal-strength demolished concrete lumps (3), a spiral stirrup (4), and longitudinal erection bars (6). The spiral stirrup (4) is arranged at a middle part inside the steel tube (1). The high-strength fresh concrete (2) is poured and the normal-strength demolished concrete lumps (3) are put alternately inside the steel tube (1). A compressive strength of the high-strength fresh concrete (2) is 30˜90 MPa greater than that of the normal-strength demolished concrete lumps (3).