"The resignation of Raul Khajimba was approved by the parliament," Kvarchia said.
He said 32 lawmakers voted for the resignation, two against.
The parliament unanimously appointed Prime Minister Valery Bganba as acting president.
On 12 January, Abkhazian President Raul Khajimba signed a resignation letter amid unrest in the republic which started after a court ruled on 10 January that the results of the September presidential election were illegal.