PRIME Minister Lee Hsien Loong congratulated Mr Tony Abbott on leading the Australian Liberal-National Coalition to victory on Saturday's general election.

"Your resounding electoral success reflects the confidence that Australians have in your leadership and vision for Australia," Mr Lee said in a letter to Mr Abbott.

Singapore and Australia share excellent bilateral relations and are close and longstanding partners, Mr Lee said, adding that the two countries work well together in multilateral fora and share wide-ranging cooperation in many areas, including trade and investments, defence, education and people-to-people exchanges.

Recalling his meeting with Mr Abbott in Canberra last October, Mr Lee said he looked forward to working with him to strengthen Singapore-Australia relations.

"I would like to invite you to make an official visit to Singapore in the near future," he said.