This is the first edited volume that tackles the acquisition of the present (tense, aspect, temporality), an under-researched area, particularly compared to the acquisition of past temporality. The first two chapters focus on the L1 acquisition of English from the perspective of the Aspect hypothesis and the Verb-Island hypothesis Wang & Shirai) and the L1 acquisition of French from the perspective of the zero-tense hypothesis (Demirdache & Lungu). The remaining chapters tackle the L2 acquisition of English (Liszka, Al-Thubaiti, Vraciu), French (Ayoun, Saillard), Spanish (Gabriele et al.), Russian (Martelle) and Japanese (Shirai & Li) by learners of different L1s (French, English, Arabic, Chinese and Korean), testing various semantic and syntactic hypotheses. The last chapter presents a summary of the findings, and offers a few conclusions as well as broad directions for future research.