Pollard, 28, pulled out due to injury while 27-year-old Narine said he was under-prepared as he serves out an international suspension for a suspect bowling action.
Carlos Brathwaite has been drafted to replace Pollard while a replacement for Narine has not yet been named.
"Kieron Pollard withdrew from the squad citing a lack of sufficient progress in his rehabilitative work (injury sustained in December) and hence won't be fit for tournament," said a spokeswoman for the West Indies Cricket Board (WICB).
The West Indies squad is currently at loggerheads with the WICB over payments for the World Twenty20 in India in March.
The players have been given until Sunday to sign their contracts for the tournament.
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