Hundreds of photos have surfaced on social media of the two helicopters.
It is not yet known why they are hovering in the city, although there is a suggestion it could be related to an exercise at Leeds General Infirmary, after one copter was seen landing on the hospital's helipad.
The YEP is currently investigating - more to follow.
@Willcraven said: "Not every day you see two Apache helicopters flying over Leeds."
@Chris_Lane1989 said: "Just managed to catch a picture of them leaving towards Elland Road."
@Kelly4Law said: "2 military Apache helicopters seen over Leeds central. All normal. Nothing to worry about."
If you see the helicopters, send your photos and video to @Leedsnews on Twitter