Transparent thin film transistors were fabricated on $n^+$-Si wafers coated by $Al_2O_3/SiO_2$. Zinc tin oxide (ZTO) films deposited by rf magnetron sputtering were employed for active layers. The mobility (${mu}s$), threshold voltage ($V_T$), and subthreshold swing (SS) dependances on ZTO thickness were analyzed. The $V_T$ decreased with increasing ZTO thickness. The ${mu}s$ raised from $5.1cm^2/Vsec$ to $27.0cm^2/Vsec$ by increasing ZTO thickness from 7 nm to 12 nm, and then decreased with ZTO thickness above 12 nm. The SS was proportional to ZTO thickness.