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The network-on-chip (NoC) has been recognized as a paradigm to solve system-on-chip (SoC) design challenges. The routing algorithm is one of key researches of a NoC design. XY routing algorithm, which is a kind of distributed deterministic routing algorithms, is simple to be implemented. Odd-even (OE) routing algorithm, whose implementation is complex, is a sort of distributed adaptive routing algorithms with deadlock-free ability. We demonstrate the two routing algorithms in details at first. XY routing algorithm and OE routing algorithm are then simulated and compared based on a 3times3 mesh topology NoC with NIRGAM simulator. The simulation results show that OE routing algorithm, whose P parameter equals to 1.09, increases P parameter greatly as compared to XY routing algorithm, whose P parameter equals to 0.86, in a 2-dimension 3times3 mesh topology NoC, with constant bit rate (CBR) traffic condition of each tail.