In most countries or regions of the world, observed strong ground motion data is not enough, which makes it difficult to develop empirical attenuation relations statistically. To overcome this bottleneck, this paper discussed the progresses to build seismology based regional ground motion attenuation relationship there, the importance of estimating the values of regional parameters, stress drop Δσ in source spectrum, Q₀ and η in quality factor, and two distances R₁ and R₂ in geometric attenuation term were emphasized, and the idea and approach to acquire these five values were presented by means of an joint inversion of small earthquake records (M_w=3.5-4.5, focal depth≤30 km) from regional digital monitoring network. Based on these parameters, regional attenuation relations were built and examined by the strong ground motion data (M_w≥4.5, focal depth≤30 km). The result matches the observed strong ground motion data well for the northeastern region of Japan and it is also good for earthquakes with magnitude 5 and 6 in Sichuan and Yunnan regions of China where there are not enough data for checking, but it is larger than the observed data for earthquakes with magnitude 7 and distance further than 100 km. The feasibility of the proposed method is shown through three cases.