Dorig, an Oceanic language spoken on Gaua island in northern Vanuatu, shows a wealth of constructions for encoding negative polarity. Verbs contrast 14 positive TAM categories with 9 negative; together, these form a “TAMP” [tense–aspect–mood–polarity] system made of 23 portmanteau categories. All negative tamp morphemes are formally discontinuous, and synchronically non-compositional. Standard negation shows several forms of structural asymmetries, both morphological and paradigmatic, across polarities. Besides standard negation, Dorig has separate constructions for negating non-verbal predicates, existentials, locatives, and imperatives. While this study highlights the intricacy of negative structures in this particular language, it places them in their typological and areal contexts, and shows how Dorig is mostly representative of regional patterns in north Vanuatu.