  The famous theorem of Matsumura-Oort states that if $X$ is a proper scheme,
then the automorphism group functor $\mathfrak{Aut}(X)$ of $X$ is a locally
algebraic group scheme. In this paper we generalize this theorem to the
category of superschemes, that is if $\mathbb{X}$ is a proper superscheme, then
the automorphism group functor $\mathfrak{Aut}(\mathbb{X})$ of $\mathbb{X}$ is
a locally algebraic group superscheme. Moreover, we also show that if $H^1(X,
\mathcal{T}_X)=0$, where $X$ is the geometric counterpart of $\mathbb{X}$ and
$\mathcal{T}_X$ is the tangent sheaf of $X$, then $\mathfrak{Aut}(\mathbb{X})$
is a smooth group superscheme.
