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Channel 4 News reporter Jim Blakey says police at The Shard think it would be "too dangerous" to attempt to seize the demonstrators currently trying the climb the building.
Nottinghamshire woman Ali Garrigan, 27, is one of the activists climbing The Shard today, according to Greenpeace:
In a statement on the Greenpeace website, she said: "We're climbing this building because it's time to draw a line in the ice and say to the oil companies you come no further."
Responding to the demonstration at The Shard in protest at Arctic drilling by oil firm Shell, a company spokesman said:
The company said oil and gas production from the Arctic was not new.
"The Arctic region currently produces about 10% of the world's oil and 25% of its gas," it said in a statement.
Greenpeace has released video which shows how six activists accessed exterior of The Shard before attempting to reach the top of the 310m-high building.
One of the campaigners said they plan to unveil a "huge artwork" near the summit of the structure.
Greenpeace says Victoria Henry, a Canadian living in London, is one of the climbers scaling The Shard.
This morning she tweeted about the "months of training and secrecy" leading up to the stunt:
Greenpeace said the Shard protesters were "artists and activists", adding: "If the six women reach the top - 310m above the pavement (1,017ft) - they will attempt to hang a huge work of art that captures the beauty of the Arctic."
One climber, Victoria Henry, 32, a Canadian living in Hackney, London, said this morning:
- The Shard is is 1016ft (309.6m) high
- The area of the glass facade is 602,779 ft squared (56,000m squared), which equals eight football pitches
- There are 306 flights of stairs
- There are 44 lifts, including double-decker lifts
- There are 72 occupiable floors
A spokesman for The Shard said: "The Shard is being used by protestors as part of a campaign.
"Our primary focus is on the safety of the protestors and the workers and visitors to the building.
"We are working with the relevant authorities to try to ensure the safety of those concerned."
Latest ITV News reports
Six women have been arrested after climbing the outside of The Shard building in London to campaign against Arctic drilling.