This paper examines the dynamic relationships between four Asian property stock markets in Japan, Hongkong, Singapore and Malaysia, four European Property stock markets in UK, France, Germany and Italy; and between an equally weighted Asian and European regional property stock indices on both a long and short- term basis. Employing both Johansen multivariate cointegration analysis and extended EGARCH (1, 1) models, our results reveal that there is minimal long-term relationship between the four Asian and the four Europe property stock markets. Additionally, there is weak mean transmission and insignificant evidence of cross-volatility spillovers. The combination of these findings implies that investors would benefit from diversifying property stock portfolios internationally within Asia and Europe on both a long and short term basis. Hence the portfolio effects of international diversification through property stocks are expected to receive increasing investor interest in the international property stock markets.