  This paper is devoted to the study of Lifshitz tails for a continuous
matrix-valued Anderson-type model $H_{\omega}$ acting on $L^2(\R^d)\otimes
\C^{D}$, for arbitrary $d\geq 1$ and $D\geq 1$. We prove that the integrated
density of states of $H_{\omega}$ has a Lifshitz behavior at the bottom of the
spectrum. We obtain a Lifshitz exponent equal to $-d/2$ and this exponent is
independent of $D$. It shows that the behaviour of the integrated density of
states at the bottom of the spectrum of a quasi-d-dimensional Anderson model is
the same as its behaviour for a d-dimensional Anderson model.
