  We derive the strange quark transverse momentum distribution for the $% b\to
s\gamma $ decay. A resummed formula is presented showing the singularity
structure in the impact parameter $b$. We observe the appearance of a new
next-to-leading soft singularity. The first term of the coefficient function is
calculated to complete the evaluation of the distribution with next-to-leading
accuracy and the constant term. The connection with the shape function for the
mass spectrum is briefly discussed. The extension of the shape function
interpretation to the transverse momentum distribution seems not to be longer
possible. The complete perturbative $O(\alpha)$ transverse momentum
distribution formula for the $b \to s \gamma$ process is given. The coefficient
function, the double and single logarithmic terms together with the remainder
function are explicitely evaluated and presented in analytic form. A resummed
expression is also shown.
