The opposition figures were placed under investigation on charges of armed robbery following an assault on three Russian political consultants in Abkhazia.
The move comes days before Abkhazia is set to hold municipal elections.
The airport will have only one bi-weekly flight to Moscow until a yet undisclosed date.
Opposition figures have said they are being punished via Russia by having their citizenship revoked.
There has not been a reliable sea link between the two cities since the War in Abkhazia (1993–1994).
Russia has reportedly listed multiple journalists and opposition figures as foreign agents or revoked their Russian citizenships.
Russian Deputy Prime Minister Aleksandr Novak said that bilateral trade turnover had increased by 60% over the past four years.
