As fossil fuels are causing environmental pollution and resources are vanishing, new renewable energy becomes hot issue in all nations. Ocean wave is one of the important renewable energies because it has very high energy density and persists day and night in all seasons. A new type of wave power generator is being suggested in this paper to convert wave energy into electrical one. According to wave power generator suggested in this paper, it consists of a body and multiple small floats connected to the body with arm rods. The body consists of a head, columns, a weight and a floating tank which imposes buoyancy on the body such that the head is being kept above the sea water. Inside the head a electric power generator is mounted and being rotated by driving torque come from the up-and-down motion of small floats due to the wave. The body and the floats are to be designed such that the body stands almost still even the waves while the floats are moving up-and-down almost in phase with the wave. Due to the different dynamic characteristics of the floats and the body, relative motion occurs which produces the driving torque of the electric generator. Computer simulation has been done to estimate capability of electrical power generating of the power generator. Mathematical model of electric power generator, Mathematical model of electric power generator was derived through some experiments to relate revolutional speed and the electrical power output. The wave was modeled according to official data about East Sea from a national institute, KHOA(Korea Hydrographic and Oceanographic Administration.) Some important design parameters are chosen and their optimal values are determined by examining the electrical power output numerically. Those computer simulation works have been done by using MATLAB. As a result it is concluded that the wave power generator may produce 5 kW with 6 small floats.