Nicholas Orlando Green, of Kennington Park Road, appeared at the Inner London Crown Court on Monday (September 1) following the attack.
The court heard that the 36-year-old attacked two victims, 42 and 44, after they entered the station on March 27 last year at around 10.30pm.
They were part of a larger group who had finished a local dance class and went to separate platforms.
A short time later, Green tapped into the station and made his way down onto the platform.
Just moments later he launched a ferocious and unprovoked attack on the older man, attacking and stabbing him for around 20 seconds with a knife clenched in his right hand. He continued the attack even after the victim fell to the floor.
Hearing the commotion, the second victim rushed over to intervene.
Green then began attacking him in the same way, knocking him to the ground before other horrified members of the public intervened.
Green then got up and made his way to a lift, where he assaulted a 31-year-old woman before leaving the station.
Both of the first two victims were rushed to hospital. The 44-year-old victim suffered multiple stab injuries to his chest and a fractured humerus bone in his left arm.
The second victim also suffered 13 stab injuries in total.
Police began to investigate the matter quickly, tracking his identity with the bank card he used to tap in.
He was arrested the following day and taken into custody.
During a search of his address officers located the card he had used to tap in and the trainers he had worn during the attack. They also found the jacket that he had been wearing, which had been freshly washed.
Appearing at the court yesterday, he was found guilty of two counts of grievous bodily harm with intent and one count of possession of a bladed article and one count of common assault.
He was found not guilty of two counts of attempted murder and one count of sexual assault.
Green was remanded in custody to be sentenced at the same court on a date in early December.
Detective Chief Inspector Paul Attwell said: “This was a truly horrific and unprovoked attack that left two innocent men with life-altering physical and psychological injuries that they continue to recover from.
“Green’s torrent of violence that day has never been satisfactorily explained. During police interviews Green repeatedly laughed, lied, argued and tried to frustrate our investigation as much as he could, but our officers worked tirelessly to gather crucial evidence that helped the jury see through his lies and bring him to justice.
“I hope this outcome brings some measure of justice and reassurance to the victims and their loved ones. We will stop at nothing to ensure violent offenders like Green are held to account and removed from the streets.”