They will compete with Quentin Tarantino and Taika Waititi for the honor.
Ho helmed Parasite, Scorsese directed The Irishman, Mendes made 1917, Tarantino shot Once Upon a Time in Hollywood and Waititi made Jojo Rabbit.
The nominees for Best Director for a First-Time Feature Film are Mati Diop for Atlantics, Alma Har'el for Honey Boy, Melina Matsoukas for Queen & Slim, Tyler Nilson and Michael Schwartz for The Peanut Butter Falcon, and Joe Talbot for The Last Black Man in San Francisco.
Up for Best Director of a TV Drama are Nicole Kassell for Watchmen, Mark Mylod for Succession, David Nutter for Game of Thrones, Miguel Sapochnik for Game of Thrones and Stephen Williams for Watchmen.
Shortlisted for Best Director of a TV Comedy are Dan Attias for The Marvelous Mrs. Maisel, Bill Hader for Barry, David Mandel for Veep, Amy Sherman-Palladino for The Marvelous Mrs. Maisel and Daniel Palladino for The Marvelous Mrs. Maisel.