Aiming at examining the effects of the 2008 global financial crisis on network structure evolution of Asia-pacific food-price stock markets during 2008-2009, 2011-2012, the complex network is established to measure correlations in fluctation among food-price stock indice returen series of 19 Asia-pacific countries. The network topologiy properties are studied and the empirical results show that Asia-pacific food-price stock markets are a small-world, without scale-free characteristics. Hong Kong, South Korea, Singapore act as central nodes. The advent of the financial crisis can make the food-price stock network structure more compact, enhance the corelations. In the stable period, the network volatility reduces and the network hierarchy is more compact. The influence of China food-price stock markets become more powerful, but its stability has declined.