Cultural facility is a kind of public facilities that can improve residents' education, ensure local cultural inheritance, and promote cultural exchanges. Well-planned construction of cultural facilities can promote sustainable development and avoid wasting resources. Xiamen, a coastal city with uneven development, is focused on this study. The time-space evolution of cultural facilities in Xiamen is studied by collecting total number of 34461 POI data, 229071 street data. With help of multi-source data and ArcGIS software, cultural facilities' distribution and accessibility are visualized and analysed as the standard deviation ellipse, kernel density analysis diagram and accessibility classification diagram. The results show that the construction of cultural facilities in Xiamen is mainly concentrated on the island and other coastal areas. The growth rate of construction was declined by 48.1% over the period. The unequal distribution of cultural facilities has increased over the past eight years. The accessibility of cultural facilities increased in 2016 and worsened in 2022. This is due to the government's emphasis on tourists and lack of attention to residents who lives in industrial areas. To improve equity of residents, strengthen on the construction of cultural facilities in Xiamen industrial zone is required.