The man was spoken to by police after the stunt but not arrested when he was seen on the side of the skyscraper at around 5.15am on Monday.
Onlookers posted footage of the climber, who according to the Daily Mirror made most of the ascent without ropes or suction cups.
The Metropolitan Police said: ‘Police were called at 5.15am on Monday July 8 following reports of a 'free-climber' on The Shard.
Man dies after dog attack at Hillson Drive recreation ground in Fareham - owner is arrested
Fareham dog attack: Shrine set up in memory of man who died - named locally as Wiggy Symes
Fareham dog walker and trainer Ian 'Wiggy' Symes thought to be killed by XL American Bully breed dog
Heartfelt tributes paid to Wiggy Symes who died after Fareham dog attack
Thunderstorms yellow weather warning issued over Waterlooville, Fareham and parts of Hampshire by Met Office with chance of 'heavy rain'
‘Emergency services attended and the man went inside the building where he was spoken to by officers. He was not arrested.’
Previous climbers who have set their sights on the 310-metre (1,017ft) building include YouTuber CassOnline, who climbed from the public viewing platform to the apex in 2017.
In 2013, a group of Greenpeace activists also scaled the building to protest against oil drilling in the Arctic.