  We show that there exists a fine moduli space for torsion-free sheaves on a
projective surface, which have a "good framing" on a big and nef divisor. This
moduli space is a quasi-projective scheme. This is accomplished by showing that
such framed sheaves may be considered as stable pairs in the sense of
Huybrechts and Lehn. We characterize the obstruction to the smoothness of the
moduli space, and discuss some examples on rational surfaces.
