A variable acceleration curved surface spiral gear transmission mechanism for accelerated oscillator damper damping systems is disclosed. Through the orthogonal orbit planetary gear set moving along the parallel circular arc line guide rail, the concave surface spiral gear and the convex surface spiral gear are meshed at different radii, so as to realize the continuous changing of the speed ratio and changing of the acceleration of the additional mass block. The spiral curve limit guide groove is set on the surface of concave surface spiral gear and convex surface spiral gear, and the changing rate of speed changing ratio is adjusted by designing different spiral curves, and then the acceleration changing rate of additional mass block is controlled.