This paper reviews important aspects of infection of pigs with avian influenza viruses. Wild waterfowl are the main reservoir for influenza A viruses; other species, such as pigs, can be infected, but most avian strains are imperfectly adapted to replication and transmission in such new hosts. However, some avian-to-porcine host jumps have resulted in the emergence of stable swine influenza virus lineages, with major consequences for both animal and human health. Different categories of factors are involved in these cross-species adaptations, both epidemiological (relating to host-host interactions) and virological (relating to host-virus interactions). An understanding of the adaptation of avian influenza viruses to pigs has benefited from a number of recent studies, but more research is warranted to fully appreciate the key molecular and epidemiological factors involved in this intriguing viral host jump.