The BRST operator cohomology of N = 2 two-dimensional supergravity cou
pled to matter is presented. Descent equations for primary superfields
of the matter sector are derived. We find one copy of the cohomology
at ghost number one, two independent copies at ghost number two, and c
onjecture that there is a copy at ghost number three. The N = 2 string
has a twisted N = 4 superconformal symmetry generated by the N = 2 su
perstress tensor, the BRST supercurrent, the antighost superfield, and
the ghost number supercurrent.