Lattice Boltzmann Method (LBM) has been applied for the simulation of a mixed convection heat transfer of two dimensional Newtonian fluid in a square cavity driven by a periodically oscillating lid. The top wall is maintained at higher variable temperature. The developed LBM code in Matlab, is applied for the oscillating lid to simulate the fluid flow and heat transfer in cavity, was validated using various Reynolds and Grashof numbers. Nusselt number was calculated for various pertinent dimensionless groups. Fluid flow and heat transfer characteristics were examined in the domain of Reynolds number, Grashof number, the dimensionless lid oscillation frequency and different values of temperature. Such that: 10(2) <= Re <= 10(3), 10(2) <= Gr <= 10(6), 0.1 <= omega <= 5, the Prandtl number was fixed as 0.71. The results show that the variation of the Reynolds and Grashof numbers has an effect on energy transport process and drag force behavior depending on the conduct of the velocity cycle. Moreover the variation of Rayleigh number and period of the heated portion has an effect on the transfer rate on convective structures. (C) 2019 Published by Elsevier Ltd.