  A deformed Bianchi type I metric in noncommutative gauge gravity is obtained.
The gauge potential (tetrad fields) and scalar curvature are determined up to
the second order in the noncommutativity parameters. The noncommutativity
correction to the Einstein-Hilbert action is deduced. We obtain the Planck
mass, on noncommutative space-time as a function of the noncommutative
parameter {\theta}, which implies that noncommutativity has modified the
structure and topology of the space-time.
