In this paper,we conduct an investigation into two-dimensional squeezed magnetopolarons.The Hamilto-nian of magnetopolarons is dealt with two-mode squeezed states transformation,which is based on the Lee-Low-Pinesand Huybrechts(LLP-H)canonical transformations.This method makes it possible to take account of the linear terms,bilinear ones of phonon operators,and the correlation between two longitudinal optical(LO)phonon modes.The en-ergies of the ground state and excited states are evaluated by variational approach,and accurate results are obtained.Furthermore,the renormalized cyclotron masses for some possible transitions are discussed in detail.