In order to realize the application of squeeze film damper in Marine gear transmission system, a set of high-speed Marine single helical gear transmission system is studied, and the dynamics model of squeeze film damper (SFD) is established by MATLAB programming. The influence of bearing position, oil film length, radial oil film clearance, journal radius, dynamic viscosity and elastic support stiffness on bearing vibration response is studied, which completed the vibration reduction parametric design of transmission system and determined the relatively optimal structural design matching parameters of damping bearing. Based on the calculation results, the amplitude of vibration response acceleration at bearings has decreased, and the average amplitude reduction percentage is 36.5%. According to the SFD parameter optimization results, the damping bearing test pieces are designed and manufactured. By setting up the test bench, the vibration damping performance of the test piece is verified. The test results show that the damping bearing can reduce the vibration response amplitude of meshing frequency acceleration spectrum by 5.0 dB at most, under the condition of ensuring the stable operation of the system, which means that the design and application of Marine damping bearing aimed at vibration attenuation has been successfully realized.