Singapore has long used orchid naming to recognise international leaders, with high-profile political figures including Nelson Mandela and Margaret Thatcher having blossoms at Singapore's National Orchid Garden.
The Bidens were feted at a ceremony at the 63-hectare garden, where a new hybrid orchid, Dendrobium Joe and Jill Biden, was named in their honour.
The vice president signed a symbolic "birth certificate" officially naming the orchid, one of many new varieties constantly being developed in Singapore.
"That was beyond any expectations I ever had as a child or an an adult."
VIP orchid-naming first took root in 1957 during British colonial rule when a variety was named after Anne Black, the wife of London's high commissioner to Singapore.
Singapore is a leading exporter of orchids and its national flower is an indigenous violet-hued variety called the Vanda "Miss Joaquim".