Using the $Ba_{0.5}Sr_{0.5}TiO_3$(BST) powders prepared by the Sol-Gel method, the BST thick films were fabricated on the $Al_2O_3 $substrates coated with Pt by the screen printing method. Compared with pure BST thick films, the structural and dielectric properties of the BST thick films doped with $1{sim}10$ wt % MgO were investigated. It was observed that the Mg substitution into BST causes a shift in the cubic-tetragonal BST phase transition peak to a lower temperature. The microstructure of the BST substituted with Mg was homogeneous and dense. Mg substitution into BST had a significant effect on the grain size reduction. Dielectric constant was decreased with increasing the MgO content and temperature. In the case of BST thick films doped with 1 wt% MgO, the relative permittivity and dielectric loss were 1581 and 1.4 % at 1 MHz.