Broom was in fine form during the ODI series against Bangladesh, scoring 109 (not out) and 97 runs in his last two innings as the hosts completed a 3-0 series sweep.
"We needed to replace an attacking opening batsmen and with Neil's experience opening in the T20 format and his current form -- he was a ready-made replacement," coach Mike Hesson said in a statement.
"Martin also leads our fielding in white ball cricket and so we're expecting Neil to be a big contributor in that area as well."
New Zealand will begin their three-match Twenty20 series against Bangladesh at McLean Park on Tuesday.
News that makes sense
Your trusted source for staying up-to-date with the world around you. Get free daily news updates and analysis, straight to your inbox.
(Reporting by Shravanth Vijayakumar in Bengaluru; Editing by Amlan Chakraborty)
