Fractionation of an acetone-methanol (1:1) extract of the Caribbean marine sponge Axinyssa ambrosia yielded three new sesquiterpenes whose structures were established by spectroscopic methods as (4R*,5R*,7S*,10R*)-eudesm-11-en-4-ylamine hydrochloride (1), axinyssamine hydrochloride, (4R*,5R*,7S*,10R*)-4-isocyanatoeudesm-11-ene (3), and (4R*,5R*,7S*,10R*)-formamidoeudesm-11-ene (4). Compound 1 exhibited significant cytotoxic activity against cancer cells and was also active in a lethality test using polyps of the scleractinian coral Madracis mirabilis.