The basic public services’ equalization and regional economies coordinated development are necessarily to rationalize the regional difference of the relation of public services supplying and economic development. This study is based on China’s eastern and western provinces data, uses panel unit root test and cointegration test to study longterm relations of the capital construction expenditure and science, education, culture, hygiene expenditure with economic growth between eastern and western areas. The results show that the relation of eastern and western capital construction expenditure and the science, education, culture, and hygiene expenditure with the economic growth has the obvious difference: the western capital construction expenditure has higher contribution than the eastern; But the eastern science, education, culture, and hygiene expenditure has higher contribution than the western. Therefore, in different regional restriction conditions, the relationship of regional public service supplying with the economic growth is not stable. Based on the result of study, we propose suggestion for Chinese economic system reform and the financial policy.