In this paper, we have fabricated asymmetric Y-branch optical power splitters with various optical power splitting ratios by changing the width of one of the output waveguides using $Ag^+-Na^+$ ion change method in BK7 glass. The transmission characteristics of asymmetric Y-branch optical power splitters with different output waveguide width have been investigated using the finitedifference beam propagation method (FD-BPM). We have found the index of the channel waveguide formed by Ag+-Na+ ion change method in BK7 glass and have fabricated channel waveguides to examine the transmission characteristics of channel waveguide. And we have fabricated asymmetric Y-branch optical power splitters with output waveguide width from TEX>$4{mu}m$</TEX> to $6{mu}m$. /TEX>.