One social media user recorded a clip from the ground's live feed camera of the fan skydiving into the unfinished arena.
Spurs have now announced they are aware of the incident and it is being investigated as a matter of urgency.
A statement read: "We are aware of an incident that took place last night that involved a breach in construction security.
"This is being investigated by Mace, our stadium construction partners."
The stuntman launched himself off the West side of the near-£1billion stadium and landed on the retractable pitch.
The slab of ground was covered in sand while construction is ongoing as it is being prepared to be laid next month.
Tottenham are hoping to move into their new 62,000-seater stadium for the game against Liverpool on September 15.
Prior to that, there will be a "test day" on August 5 – with a series of exercises taking place to ensure it is ready for action.
The stadium is also set to host a range of other sports and events, including American Football – with the first NFL game on October 14.
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