Abstract: In most cases, the social organisation of each of the seven species of Equidae existing today outside captivity is either territorial or non-territorial. The striking differences found between these two types of organisation in the social grouping and bonds, mating behaviour, leadership and dominance hierarchies of the animals are examined. It is thought that the non-territorial species show a less primitive type of organisation than the territorial animals. Infant Equidae are precocious animals and are able to follow their dams soon after birth. They stay close by their dams and travel with the herd from an early age and are therefore classified as “followers”, in contrast to the species which have a period of hiding after birth. Dams recognise their foals immediately after birth, whereas it takes 2 or 3 days for a foal to form an attachment to its dam. Being in close proximity to their dams, foals are able to nurse frequently and, unless artificially weaned, a foal will nurse until its dam foals again. Foals start to graze during their first week and as they grow older they spend more time grazing and less time nursing and resting. It is normal for foals to be corprophagic until one month old, and this provides them with bacteria essential for the digestion of fibre. Play behaviour is solitary in very young foals, but after 4 weeks of age, foals play together, with male foals playing more than females and showing more aggressive, fighting movements in play.