BeiDou global navigation satellite system (BDS-3) reached the global coverage in June 2020. To study the performance of the precise relative positioning using the BDS-3 alone and the improvement due to adding BDS-3 satellites to BDS-2 and GPS, this paper analysed the data of 033-039d provided by the MGEX in 2021. The fusion of BDS-2, BDS-3 and GPS data was conducted for static and dynamic high-precision long-baseline solution experiments. The influence of the individual BDS-2 / BDS-3 / GPS and by adding BDS-3 satellites to BDS-2 and GPS on precise relative positioning convergence speed and positioning accuracy were analyzed, respectively. The experimental results show that the current BDS-3 positioning performance (convergence speed and positioning accuracy) is similar to GPS, and the BDS-3 satellites effectively improve the positioning convergence speed upon BDS-2 and GPS. In the static positioning processing mode, with the aid of the BDS-3 satellites, the RMS (Root-Mean-Square) of the positioning errors using GPS only and the combination of BDS-2 and GPS was increased only by 20 % in the up direction, and for the BDS-2 system alone, the positioning accuracies in the E, N and U components were increased by 60%, 71% and 65%, respectively. In the dynamic positioning processing mode, after the addition of BDS-3 satellites, the positioning accuracies using GPS and GPS+BDS-2 in the E, N and U components were improved by about 15 %, 23 % and 23 %, respectively, and the BDS-2 positioning accuracies were improved by about 46 %, 38 % and 36 % in the E, N and U components, respectively.