In this paper, we have investigated the structure and dielectric properties of the $(Ba_{0.6}Sr_{0.4})TiO_3$ (BST) thin films fabricated on MgO(100)/Si substrate by an alkoxide-based sol-gel method. Both the structure and morphology of those films were analyzed by x-ray diffraction (XRD) and atomic force microscope (AFM). For the MgO(100)/Si substrate, the BST thin films exhibited highly (100) orientation. The highly (100)-oriented BST thin films showed high dielectric constant, tunability, and figure of merit (FOM). The dielectric constant, dielectric loss and tunability of the BST thin films annealed at $700^{circ}C$ deposited on the MgO(100)/Si substrate measured at 10 kHz were 515.9, 0.0082, and 54.3%, respectively.