Besigye, who left Uganda for Ghana Thursday night, was invited in his capacity as the vice chairman of the International Democratic Union (IDU), a global association of centre-right political parties from 56 countries worldwide.
Besigye was elected to the IDU from London in November 2011, a position he still holds.
Addo defeated incumbent John Dramani Mahama in the December 7th elections. Mahama had served since July 2012 after he succeeded President John Atta Mills who died in office.
However, it was not yet clear whether President Museveni would attend the inauguration as Special Media Assistant Don Wanyama, when contacted could not confirm nor deny Museveni's attendance, arguing that 'it is not a must that the President should attend the inauguration.'
More than 6,000 guests are expected to attend the inauguration ceremony of Nana Akufo-Addo, according to Nkrumah.