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8 June 2015 Last updated at 08:01 BST
Two weeks after the calf's birth, zookeepers are pleased with his progress, saying he's putting on up to half a kilo per day.
An adult pygmy hippopotamus typically reaches around 70-80cm tall and weighs around 250kg, about a quarter of the size of a full-sized hippo.
They are classified as an endangered species, so the zoo are delighted with the new arrival.
A baby pygmy hippopotamus has made an arrival at Melbourne zoo in Australia, the first to be born there for 33 years.