A　tumor　growth　model　designed　with　a　one-dimensional　celluar　automaton　(TGM1dCA)　based　on　the　analysis　of　the　Gomerptz　model　was　proposed.　A　discrete　Gompertz　model　was　developed　from　the　continuous　Gompertz　model,　which　was　described　by　a　discrete　difference　equation.　According　to　the　discrete　Gompertz　model,　The　stochastic　evolution　rules　for　the　TGM　1dCA　programs　was　which　embodied　the　dynamics　of　tumor　growth.　The　theoretical　and　simulated　results　showed　that　the　TGM1dCA　was　consistent　with　the　Gompertz　model　and　the　clinic　data.