  We consider mutually disjoint family of measure preserving transformations
$T_1, \cdots, T_k$ on a probability space $(X, \mathcal{B}, \mu)$. We obtain
the multiple recurrence property of $T_1, \cdots, T_k$ and this result is
utilized to derive multiple recurrence of Poincar\'e type in metric spaces. We
also present multiple recurrence property of Khintchine type. Further, we study
multiple ergodic averages of disjoint systems and we show that $T_1, \cdots,
T_k$ are uniformly jointly ergodic if each $T_i$ is ergodic.
