  In this paper, the definition of noncommutative Orlicz sequence spaces is
given, these spaces generalize the Schatten classes Sp(H). After some relations
of trace and norm on this spaces have been researched, one give the criterion
of reflexivity of these spaces. At last, as an application, we find the
Toeplitz operator on the Bergman space belongs to some noncommutative Orlicz
sequence spaces, hence the trace and the norm of operator could be computed.
