Serial verb constructions are sequences of verbs that act together as a single predicate, without any overt marker of coordination, subordination, or syntactic dependency of any other sort. One key question that these constructions pose for grammatical theory is how their lexical and syntactic properties interact. On the one hand, they appear to be lexically determined. On the other hand, the individual verbs are clearly separate verbs assigning cases and thematic roles to intervening arguments. Here, we focus on the canonical cases of serial verbs, taking the Suriname creole language Saramaccan as our prime example, and their grammatical properties. Other languages discussed include Mauritian Creole, Haitian Creole, Sranantongo, and Ijo.. We give a first inventory of these constructions and of the analytical problems that they raise, as well as discuss some of the analyses proposed so far, such as subordination, adjunction, and coordination. Further themes of discussion are the problem of argument sharing – two verbs in a serial chain having the same argument, expressed only once – and the typological correlates of serial verb constructions. Possibilities we discuss are word order, non‐distinctiveness of verbs and prepositions, and the absence of verbal morphology and separation of verbs from INFL (inflectional). The latter option is the most plausible, we argue.