  In this article we begin the study of representations of simple
finite-dimensional noncommutative Jordan superalgebras. In the case of degree
$\geq 3$ we show that any finite-dimensional representation is completely
reducible and, depending on the superalgebra, quasiassociative or Jordan. Then
we study representations of superalgebras $D_t(\alpha,\beta,\gamma)$ and
$K_3(\alpha, \beta, \gamma)$ and prove the Kronecker factorization theorem for
superalgebras $D_t(\alpha,\beta,\gamma)$. In the last section we use a new
approach to study noncommutative Jordan representations of simple Jordan
superalgebras.
