The influence of support parameters on the parametric resonance of fluid conveying pipeline under pulsating flow excitation is studied. Firstly, the mathematical model of fluid conveying pipeline and support system is established, Then the Galerkin method is used for discretization, and the incremental harmonic balance method is used to solve the problem. The effects of support stiffness, support damping, support position, support number and support spacing on the boundary of parametric resonance region and the parametric resonance response are discussed. The results show that under the fixed pulsating amplitude, the pulsating frequency range of system instability becomes smaller with the increase of support stiffness, support damping and the number of support, while the support position and support spacing have less influence on it. The change of support stiffness and support position has little influence on the pulsation frequency that the parametric resonance lasts to the end, but the increase of brace damping makes its value decrease obviously. The research results can provide a theoretical basis for the design and installation of pipeline support system.