This is taken off the Government of Canada website today August 28/2017 :

"Passport

A valid Canadian passport is required for Canadians intending to visit Jamaica, which must be valid for the duration of their intended stay in the country. Alternatively, you may present a government-issued identification with photograph, along with an official birth certificate. Before you leave, ask your transportation company about its requirements related to passport validity, which may be more stringent than the country's entry rules.

Temporary passport holders may be subject to different entry requirements. Check with diplomatic representatives for up-to-date information."



It may be different for Americans.