The number of people aged between 15 and 74 living with diagnosed HIV in England increased between 2013 and 2019 but 98% of those diagnosed are on treatment and 97% are virally suppressed, meaning that the amount of HIV in the blood is undetectable.
The research, done by experts from Cambridge University and Public Health England, shows that the country is also on track to have diagnosed 95% of those with HIV by 2025.
The Joint United Nations Programme on HIV and AIDS (Unaids) has set a global target for 95% of people living with HIV to be diagnosed by 2030.
Professor Daniela De Angelis, from the Medical Research Council's Biostatistics Unit at Cambridge and the study's senior author, said: "Overall, we see a positive picture for the HIV epidemic in England, with a dramatic fall in the number of people living with undiagnosed HIV.
"We estimate we are already several years ahead of the Unaids 2020 goals and are on target to reach 95% diagnosed by 2025 and to eliminate HIV infections by 2030."