This paper uses a cointegration analysis and a vector autoregressive model (VAR) to examine the causal relationship between defence spending and economic growth for Taiwan and Mainland China over the period 1952-1995. It is found that these two variables are not cointegrated for both countries studied. The results of the Granger causality tests suggest bidirectional Granger causality (feedback) between defence spending and economic growth for Taiwan, unidirectional Granger causality running from economic growth to defence spending for Mainland China, and unidirectional Granger causality running from Taiwan's defence spending to Mainland China's defence spending for cross-country studied. These results further indicate that there exists no arms race between two countries from both sides of Taiwan strait. Furthermore, impulse responses and variance decompositions are incorporated into the analysis. The results from the impulse responses and variance decompositions tell a similar story.