The garden is the first stop for the royal couple on their Far East and South Pacific tour.
William and Kate are touring the region over the next nine days in celebration of the Queen's Diamond Jubilee, meeting kings and presidents and a host of ordinary people from some of the world's most remote nations.
Antony Phillipson, British high commissioner to Singapore, greeted the couple at Singapore Changi airport and praised the feelgood factor they have generated.
He said: "Over the last few weeks, as we've been able to tell people more and more about the visit, there's been a mounting excitement. This is a couple who are global superstars and make the British feel very, very good about themselves."