Allspice ( also called Jamaica pepper , Kurundu , Myrtle pepper , pimento , allspice berries , or newspice ) is a spice which is the dried unripe fruit of the Pimenta dioica plant , a tree native to the West Indies , southern Mexico and Central America . Allspice , also called Jamaica pepper , kurundu , myrtle pepper , pimenta , or newspice , is a spice that is the dried unripe fruit ( `` berries '' ) of Pimenta dioica , a mid-canopy tree native to the Greater Antilles , southern Mexico and Central America , now cultivated in many warm parts of the world .