Prime Minister Kevin Rudd has welcomed Botswana's support for an Australian seat on the United Nations (UN) Security Council, following a meeting with President Seretse Khama Ian Khama in Canberra.

Mr Rudd and Mr Khama held talks at The Lodge on Monday, which they said symbolised the growing bilateral relationship and genuine friendship between the two countries.

Top of the agenda was Australia's bid for a non-permanent seat on the UN Security Council, which Botswana has backed.

"The president noted that Australia's active involvement in international affairs meant it was well placed to make a strong contribution to the work of the Security Council," Mr Rudd said in a statement after the meeting.

Australia and Botswana agreed they both wanted to see a global commitment to tackle climate change and expressed their concern about the difficulties facing Botswana's troubled neighbour, Zimbabwe.

Mr Rudd and Mr Khama said that while there had been some progress since the formation of Zimbabwe's inclusive government, there remained an urgent need for further reforms in governance, the rule of law and human rights.

The leaders would consider further opportunities to assist Zimbabwe's people.

Finally, Australia and Botswana agreed to encourage expanded trade and investment links, through education, tourism and natural resources.

Mr Rudd said he looked forward to working closely with Mr Khama in preparation for the Commonwealth Heads of Government Meeting in Perth next year.

AAP