  We obtain the Schwarzschild solution based on teleparallel gravity (TG)
theory formulated in a space-time with torsion only. The starting point is the
Poincar\UNICODE{0xe9} gauge theory (PGT).The general structure of TG and its
connection with general relativity (GR) are presented and the Schwarzschild
solution is obtained by solving the field equations of TG. Most of calculations
are performed using the GRTensorII package, running on the MapleV platform.
