An integrated n×n crossbar network is designed, which consists of 2×2 switches and crossbar interconnections. Considering both the phenomena of double refraction and internal double reflection, and the electro-optic effect in a crystal, all elements of n×n crossbar network are integrated in one birefringent crystal slab with electro-optic property. A control algorithm of the crossbar network is discussed, which may control the non-blocking interconnection between any input-output pair. The integrated crossbar network with low energy loss, non-blocking, is easy to assemble, insensitive to environment, well suited for use in optical networks.