Lloyd's is seeking an injunction to stop "urban explorers" from using its iconic London building as the set for their YouTube stunts.
The move comes after a surge in the number of people trying to climb the property this year, which Lloyd's has linked to growing publicity from urban explorers featuring it in their online videos and social media posts.
Designed by Richard Rogers and built in the 1980s, the Lloyd's building has many of its services such as staircases, lifts and pipework located outside the building.
The architectural style makes it ideal for climbing and parkour.
The corporation is concerned about the safety and security risks that the urban explorers present, and has begun proceedings to obtain an injunction to "prevent individuals from scaling the building at One Lime Street".
Since 2012, Lloyd's has reported at least 49 people climbing the building without consent, with 21 this year alone.
"Short of injunctive relief, there appears to be no prospect of these incidents of trespass ceasing," the corporation argued in its court documents.
Urban exploration stars such as Harry Gallagher and Alistair Law are earning thousands of pounds from YouTube views, selling photographs and sponsorship from clothing companies, creating "an incredibly effective incentive for current and future urban explorers to continue".
The injunction names dozens of known urban explorers, some of which have climbed the 88-metre high Lloyd's building before, but seeks to ban anyone attempting to trespass in the future.
While trespassers can be prosecuted under UK law, breaching an injunction is a more serious offence with stiffer penalties.
A hearing is scheduled for 14 January.