Nogovitsyn said only Russian planes will be allowed to fly over the buffer zone, making it a no-fly zone for Georgian aviation.
"Nobody else should fly there," the general said.
Russian peacekeepers will also stay on near Abkhazia in an area that includes a major Georgian air base, Nogovitsyn said.
"The Senaki air base is within the zone of the peacekeepers' responsibility," he said.
Russia on Tuesday rejected a United Nations Security Council draft resolution demanding full compliance with the Georgia ceasefire, saying the text did not fully reflect a peace plan agreed to on Sunday.
The new French-proposed text, debated during an emergency council meeting in New York, demanded "full and immediate compliance with the ceasefire to which the parties have subscribed".
It also demanded "the immediate withdrawal of Russian forces to the lines held prior to the outbreak of hostilities [on August 7] and the return of Georgian forces to their usual bases".
The text also reaffirmed "the commitment of all member states to the sovereignty, independence and territorial integrity of Georgia within its internationally recognised borders".
But Vitaly Churkin, Russia's UN ambassador, made it clear that his country would not accept the text because it did not include all six points listed in the peace plan agreed to between Nicolas Sarkozy, the French president, and his Russian counterpart Dmitry Medvedev.
The six-point EU-brokered ceasefire plan demands the renunciation of the use of force, immediate cessation of hostilities, free access to humanitarian aid, and withdrawal of forces to pre-conflict positions, while allowing Russian to implement unspecified "additional security measures", according to the UN.
It also calls for international discussions on the conflict between Georgia and the separatist regions of Abkhazia and South Ossetia.
Churkin said he particularly objected to the absence of a provision for additional Russian security measures, and the call for immediate withdrawal of Russian forces, which he said went beyond the ceasefire deal.
Meanwhile, a German government spokesman said on Wednesday that there were no clear signs that Russia had started a withdrawal from Georgia, describing the situation as "very unsatisfactory".
"At the moment we have no tangible indication that the Russian troop withdrawal has really started. That is a very unsatisfactory situation," Thomas Steg said.