Smoothed particle hydrodynamics (SPH) simulation of non-isothermal viscoelastic poiseuille flow is carried out, in which the viscoelastic properties of the fluid are modeled and calculated according to the eXtended Pom-Pom (XPP) constitutive model. The SPH discrete format of the temperature equation is derived, and the temperature dependence of viscoelastic properties of fluid is considered based on the principle of time temperature equivalence. The accuracy and effectiveness of the SPH method for simulating non-isothermal XPP poiseuille flow are verified by comparing the SPH results with those obtained by the finite volume method. The numerical convergence of the SPH method is discussed by performing simulations with four different initial particle spacings. The influence of the introduction of the temperature equation on poiseuille flow is studied. The influence of different physical parameters on the flow process is deeply analyzed.