The resignation follows his nomination as the ruling NDA's presidential candidate.
President Pranab Mukherjee has accepted the resignation of Kovind as the Governor of Bihar, a communique issued by the Rashtrapati Bhavan said today.
West Bengal Governor Keshari Nath Tripathi will discharge the functions of the Governor of Bihar, in addition to his own duties, it said.
The BJP yesterday announced the name of 71-year-old Kovind, a low-profile Dalit leader and a two-term BJP Rajya Sabha member, as its nominee for the president's post.
The presidential election is scheduled for July 17.