Dravid, whose leadership was under fire following India's first-round exit in the World Cup, will be skipper for next month's tour of Bangladesh as well as the trips to Ireland and England later in the year.
"The working committee has directed the selection committee to send a young team to Bangladesh under an experienced captain," board treasurer N. Srinivasan told journalists.
"The selection committee after discussions has appointed Rahul Dravid as captain," he added.
Former India all rounder Ravi Shastri was named as cricket manager for the Bangladesh tour earlier on Saturday.
"Shastri has been named for this tour alone. We will decide on next coach later," Srinivasan said referring to Australian Greg Chappell's successor. Chappell quit as India coach on Wednesday.
Ex-Test paceman Venkatesh Prasad will be bowling coach and former all rounder Robin Singh fielding coach for the Bangladesh tour.