The imperative-conditional construction (ICC) in English is a type of construction which consists of an ordinary imperative clause and an ordinary declarative clause connected by the connective and or or. This article deals with the speaker intentions of ICCs and their motivations from a cognitive-pragmatic approach. Based on the concept of construction in cognitive linguistics, an ICC can be called a complex symbolic structure which, though composed of two components, should be regarded as a single pragmatic processing unit. It is demonstrated that, in everyday communication, the ICC can usually convey three kinds of speaker intentions: a prohibitive intention, an inducing/forcing intention, and an advisory intention. The first refers to the intention of the speaker to prohibit the hearer from carrying out the act described by the imperative. The second is the intention of the speaker to induce or force the hearer to bring about the act described by the imperative. The third refers to the intention of the speaker to advise the hearer to carry out the act described by the imperative. These speaker intentions are highly motivated. The motivations include the constructional context, the conditional relation between the imperative and the declarative, the directive force of the imperative, the pragmatic enrichment of the declarative, and the complementary and interactive relationship between the imperative and declarative clauses, among which the constructional context serves as an overall motivation, and the rest may be seen as specific motivations.