We improved quench properties of a superconducting fault current limiter (SFCL) based on YBCO thin films by their serial and parallel combinations. The SFCL consisted of 6 switching elements fabricated of 4 inch-diameter YBCO thin films. The quench currents of the switching elements were distributed between 33.9 A and 35.6 A. Simple serial connection resulted in imbalanced power dissipation between switching elements even at the quench current difference of 0.6 A. On the other hand, <Tex>$2{ imes}2$ and <Tex>$</TEX>3{ imes}2$</TEX> stack combinations produced simultaneous quenches. The <Tex>$3{ imes}2$ stack combination showed better simultaneous quench behavior than the <Tex>$</TEX>2{ imes}2$</TEX> stacks. This is suggested to be because the currents between switching elements in parallel connection of the <Tex>$3{ imes}2$ stacks were more effectively redistributed than the <Tex>$</TEX>2{ imes}2$</TEX> stacks.