NOVELTY - The apparatus has multiple floatation elements (4), where each element is connected with one another, and forms a chain moving trace within a system housing (1). A drive shaft (7) comprises receptacle pins (6) to engage with pins formed on the elements to convert up-down movement of the elements to rotational movement of the shaft. A gas supply opening (9) supplies compressed gas into desired number of the elements at a lower position of the housing. An electric power generator (12) is connected to the shaft to generate electric power by utilizing rotational movement of the shaft.    USE - Buoyancy force power generation apparatus for generating motive and electric power in areas by using buoyancy force of water and air. Uses include but are not limited to a metropolitan area, a rural area, ocean, river and lake.    ADVANTAGE - The apparatus supplies gas in an upper area of the system housing, where the gas is compressed and exhausted through the gas exhaustion opening to be used to drive air turbines to generate and transmit power by the air turbine to the drive shaft and the electric power generator through the drive shaft so as to increase overall power generated by buoyancy force motive and electric power generator with low cost. The movement of the floatation element is connected with one another, where the floatation elements transmit displacement force to the drive shaft rotatably connected to electric power generator to obtain motive power and electric power permanently based on buoyancy forces achieved by using water and air without the need of fuel expenses, so that air pollution and global warming is avoided, thus improving safety performance. The system housing includes a water supply and a drain opening used to supply water in the system housing when the water is reduced or to drain the water for maintenance of the power generator system.    DETAILED DESCRIPTION - An INDEPENDENT CLAIM is also included for a buoyancy force power generation method for generating motive and electric power in areas by using buoyancy force of water and air.    DESCRIPTION OF DRAWING(S) - The drawing shows front and side views of a buoyancy force motive and electric power generator with wind turbines and/or solar panels.    System housing (1)    Floatation elements (4)    Receptacle pins (6)    Drive shaft (7)    Gas supply opening (9)    Electric power generator (12)