We construct new exact BPS solitons in various noncommutative gauge theorie
s by the "gauge" transformation of known BPS solitons. This "gauge" transfo
rmation introduced by Harvey, Kraus and Larsen adds localized solitons to t
he known soliton. These solitons include, for example, the bound state of a
noncommutative Abelian monopole and N fluxons at threshold. This correspon
ds, in superstring theories, to a D-string which attaches to a D3-brane and
N D-strings which pierce the D3-brane, where all D-strings are parallel to
each other.