Abstract Based on the continuous observation data of seven gPhone gravimeters in Fujian gravity network, we analyze the coseismic response characteristics of earthquakes with different epicenter distances and magnitudes and the maximum epicenter distance of seismic response capability. The results show that: 1) The seismic response capability of Fujian gravity network are affected by magnitude and epicenter distance. In terms of seismic response ability, Quanzhou station is superior to Putian station, Xiamen station is superior to Fuzhou Station, Zhangzhou station and Longyan station are superior to Nanping station. 2) Fujian gravity network instrument has good stability and high sensitivity. Compared with CMG-3ESP 120S seismometer, it has a wide seismic frequency band, and its duration of coseismic response is highly positively correlated with wave amplitude. 3) The maximum epicenter distance of seismic response capability(Δ) and magnitude (MS) of Fujian gravity network has a corresponding formula: MS=-0.218(logΔ)3+2.056(logΔ)2-4.594logΔ+6.459.