  In this article we develop a theory for frames in tensor product of Hilbert
spaces. We show that like bases if Y_1, Y_2, \cdot \cdot \cdot, Y_n are frames
for H_1,H_2, \cdot \cdot \cdot, H_n, respectively, then
Y_1\otimesY_2\otimes...\otimesY_n is a frame for H_\otimes1H_2\otimes \cdot
\cdot \cdot \otimesH_n. Moreover we consider the canonical dual frame in tensor
product space. We further obtain a relation between the dual frames in Hilbert
spaces, and their tensor product.
