The large amplitude vibration and nonlinear bending analyses for a perovskite solar cell (PSC) in thermal environments are presented through the plate-substrate model. The PSC film is modeled as a thin laminated plate which consists of five plies including ITO, PEDOT:PSS, perovskite, PCBM, and Au. Two kinds of graphene platelets reinforced composite (GPLRC) substrates are considered. The GPLRC substrate is modeled as a porous foundation with finite depth. The foundation stiffnesses are predicted by modified Vlasov model and the equivalent Young’s modulus of the foundation is estimated through a modified Halpin–Tsai model where the porosity coefficient is introduced. The material properties of GPLRC substrates are assumed to be temperature dependent. The thermal effect and plate-foundation interaction are involved in the governing equations which are solved by means of a two-step perturbation approach. The numerical investigations are carried out for the PSC plate rested on GPL/PMMA and GPL/Al substrates. It is shown that the substrate depth and porosity coefficient have substantial influences on the vibration response and nonlinear bending behavior of PSC plates.