A second man pleaded not guilty to the same charge
Lewis Hughes, 24, from Romford in Essex entered his plea at Westminster Magistrates’ Court.
Footage of Professor Whitty apparently being accosted in St James’s Park, Londen, circulated online shortly after the incident took place on June 27.
Kalsoom Shah, from the Crown Prosecution Service (CPS), said that Mr Hughes showed “little regard” for Professor Whitty or social distancing rules “when he accosted the government’s chief medical officer in the street”.
Ms Shah added that Mr Hughes’s behaviour was “both shocking and disgraceful”.
He will be sentenced later today.
A second man, Jonathan Chew, also 24, from Chelmsford in Essex, denied the same charge relating to the incident.
Mr Chew also denied wilfully obstructing police Steven Ozden on the same day.
He was granted bail and asked to appear again at the court on November 23 for a trial.
The Metropolitan Police launched an investigation into the incident after checking on the chief medical officer’s welfare.
The force said that Professor Whitty had not suffered any injuries.
The professor, who has a leading role in devising lockdown restrictions and regularly appears alongside Boris Johnson at coronavirus press briefings, has been involved in a number of encounters with members of the public during the pandemic.
He has previously been confronted on a street in Oxford by a man accusing him of lying to the public about the virus, while in February a man accosted him near parliament.
Both incidents were filmed on mobile phones.