  Noncommutative inflation is based upon the consideration of some effects of
the space-time uncertainty principle motivated by ideas from string/M theory.
The CMB anisotropies may carry a signature of this very early Universe
correction from the space-time uncertainty principle and can be used to place
constraints on the parameters of the noncommutative inflation model. In this
paper we analyze the noncommutative chaotic inflation model by means of the
WMAP three year results. We show that the noncommutative chaotic inflation
model can produce a large negative running of spectral index within a
reasonable range of $e$-folding number $N$, provided that the value of $p$ in
the potential $V(\phi)\propto \phi^p$ is enhanced roughly to $p\sim 12-18$.
Applying a likelihood analysis to the WMAP results, we find the best-fit values
of parameters for the noncommutative chaotic inflation model. In addition, this
model predicts a rather big gravitational wave which may be tested by the
upcoming experiments.
