The invention discloses a converter steelmaking process, and relates to the technical field of steelmaking in order to solve the problem of metal loss during constant-pressure variable gun position oxygen supply. The converter steelmaking process comprises the following steps that firstly, molten iron and scrap steel are prepared, the molten iron is added into a converter, and then the preheated scrap steel is added into the converter; secondly, a gun is lowered to blow oxygen inwards, a first batch of slagging materials are added at the same time, and during oxygen blowing, a constant gun position variable pressure oxygen supply mode is adopted; thirdly, a second batch of slagging materials are added after five to six minutes for continuous converting; fourthly, converter turning down, temperature measurement and sampling are conducted, and the reblowing time is determined; and fifthly, the gun is lifted up, steel is discharged, and low-nitrogen carbon powder, alumcakes, silicomanganese, ferrosilicon and lime are sequentially added, and secondary refining outside the converter is conducted. The converter steelmaking process is beneficial to slag formation and slug melting, avoidssplashing, reduces metal loss, and promotes decarburization, dephosphorization and desulfuration.