  We show that the Quantum Isometry Group(as introduced in \cite{goswami}) of
the n tori is the classical isometry group. Moreover, using a result in
\cite{bhowmick goswami}, we conclude that the Quantum Isometry group of the
noncommutative n tori is a Rieffel deformation of the Quantum Isometry Group of
the commutative n tori.
