Lord's security quickly realised the intruder's presence, and escorted the man dubbed "Jarvo 69" off the field despite his protests.
Indian seamer Mohammad Siraj was filmed cackling with delight as "Jarvo 69" was taken into the stands.
England captain Joe Root reeled off his fifth century of the year to change the face of the second test.
Root had a match-saving hundred at Trent Bridge in the drawn first test last week. He went big again Sunday at the home of cricket and was undefeated through the entire third day to finish on 180 not out.
England reached 391 all out on the back of his stunning effort. That was enough for a lead of 27 that had looked fanciful after India dominated the first day in making 364.
- With AP