The hourly rainfall of the four central cities in the Guangdong-Hong Kong-Macao Greater Bay Area （GBA） during the pre-and post-flood seasons over a period of about 60 years is studied in this paper. The maximum 1-hour rainfall （rain peak）， the maximum 6-hour rainfall， and the maximum 24-hour rainfall are taken as samples. The asymmetric Archimedean Gumbel-Hougaard extreme copula is used to construct a typical design of rainstorm hydrographs for the joint distribution of rainfall in three durations. The main conclusions are as follows： （1） The urban design rainstorm value calculated from the joint distribution of 3 durations of rainfall is greater than the combined distribution of 2 durations and the design rainstorm value of a single period， and the overall effect of the design rainstorm hydrograph with the same frequency amplification is relatively optimal， which provides a new idea for the research method of urban design rainstorm hydrograph. （2） The design of rainstorm hydrographs for 4 cities based on the joint distribution of 3 rainfall durations more objectively represents the rain pattern characteristics of the cities in which they are located， providing a new method for further research on the design of rain patterns. （3） The typical design of rainstorm hydrographs constructed with the maximum rainfall of 24 hours is representative. The typical design of rainstorm hydrographs amplified with the same frequency can be used as a reference for the city design of drainage and waterlogging control engineering in flood season.