The invention discloses a self-adaptive steel truss girder gravity center and installation inclination angle change hoisting lifting appliance and a construction method. The main structure comprises alifting appliance main beam, a movable pulley assembly, an oil cylinder, a fixed base, a suspender assembly, a high-strength finish rolling thread steel A, a high-strength finish rolling thread steelB, a high-strength finish rolling thread steel bar matching nut and a cotter pin; the lifting belt assembly is located on the lifting appliance main beam, and the movable pulley assembly is located on the lifting appliance main beam; the two sides of the movable pulley assembly are correspondingly provided with oil cylinders, the high-strength finish-rolled threaded steel A and the high-strengthfinish-rolled threaded steel B penetrate through the suspender assembly and the corresponding high-strength finish-rolled threaded steel rod matched nut correspondingly. According to the gravity center and the hoisting lifting appliance and the method, after being improved, the change of the center of gravity of the large-section hoisting of the structural object can be effectively applied, the lifting appliance is reduced, the measure cost is reduced, the construction process is simple and rapid, the installation difficulty is reduced, the total construction period is saved, and the measure cost is greatly reduced.