We study the effect of a strong magnetic field on interacting quark matter
and apply the same to strange star. We find that interacting strange matter
is less stable than noninteracting strange matter in the presence of a str
ong magnetic field. We then calculate strange star structure parameters suc
h as mass and radius and find that the strange star is less compact for int
eracting quark matter than for free quark matter in presence of strong magn
etic field. The maximum masses of strange stars are found to be within the
recent observational limit.