One officer is reported to have been seriously injured in the double stabbing, which happened at around 6am in the West End.
A Scotland Yard spokesperson said: “On Friday 16 September at around 06:00hrs police encountered a male with a knife in the area of Leicester Square.
“Two officers received stab wounds and are currently being treated in hospital. We await further updates on their conditions.”
Scotland Yard confirmed that officers used Taser stun guns and a man was arrested at the scene.
He was arrested on suspicion of causing grievous bodily harm and assaulting emergency workers.
The suspect has been taken to hospital.
The incident took place in London's Leicester Square
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Police are still investigating the circumstances surrounding the incident.
London Mayor Sadiq Khan condemned the attack, and called for anyone with information about the incident to contact police.
He said: “This attack on serving police officers in Soho overnight is utterly appalling.
“These brave officers were doing their duty and assisting the public at this momentous time for our country.
“My thoughts and prayers are with them, their loved ones and police colleagues following this disgraceful attack.
“Our police officers run towards danger to protect others and keep us safe and we owe them a huge debt of gratitude.
“I have spoken with the new Commissioner Sir Mark Rowley about this awful incident and remain in close contact.
“Attacks against the police will not be tolerated and any perpetrators will be caught and prosecuted.
“I urge anyone with information to come forward to ensure the perpetrator of this disgusting attack feels the full force of the law.”