Former Sri Lanka middle-order batsman Roshan Mahanama will be the ICC match referee.
Shah will stand with Ashoka for the first two ODIs at Mirpur, while Haq will officiate the third ODI with the veteran Lankan umpire.
Another home umpire Akhtaruddin Shaeen will be the TV umpire for the ODIs, a BCB release said.
Meanwhile, for the Tests starting from May 18 in Chittagong, ICC Elite Panel Umpires Daryl Harper and Billy Doctrove has been entrusted with the responsibilty of conducting the matches. Shah and Huq will be the TV umpires for the two tests.