He said this in Moscow after negotiations with his Georgian counterpart Georgy Baramidze.
"This is absurd and ridiculous, no borders were violated," Mr. Ivanov said in an answer to one of the journalists.
The Russian defence minister noted that there is no answer to the questions which aircraft these were. "There are no and can be no sensible answers," said Mr. Ivanov.
In his words, some media reported that the aircraft violators allegedly had a five-digit number.
"A military aircraft cannot have a five-digit number by definition," said Mr. Ivanov.
In his words, the Russian Federation has objective technical means to control the air space.
"Technical control means registered no violations on these days," Mr. Ivanov said referring to the days when the Georgian borders were allegedly violated by Russian aircraft.
Russian Defence Ministry facilities in Tbilisi (Vaziani) and Akhalkalaki will be handed over to the Georgian side shortly, said Mr. Ivanov.
According to him, the Russian side has long been ready to hand over unnecessary facilities of the Russian group of forces in Transcaucasia, which are in particular stationed in Tbilisi and Akhalkalaki. "We are ready to hand them over officially to the Georgian Defence Ministry. To the Georgian Defence Ministry only," said Mr. Ivanov.
In his words, negotiations between the Russian and Georgian sides are due on Wednesday to determine the list of facilities that Georgia needs and Russia does not.
The Russian defence minister rebutted reports about the alleged training of military formations for South Ossetia on Russian territory.
"The Sputnik base - I know it - is a testing range for training the 19th infantry division of the North Caucasus military district," said Mr. Ivanov. "Clearly, Russian servicemen from this division only are stationed there."
According to Mr. Ivanov, the Sputnik base regularly trains the personnel of divisions to combat illegal armed formations and terrorists in Russia not only on Chechen territory but also in other North Caucasus autonomies - North Ossetia, Ingushetia and Daghestan.
The presence of Russian peacekeepers in South Ossetia and Abkhazia testifies to Russia's contribution to the defence of citizens of these territories.
"Peacekeepers of the Russian Federation are present in South Ossetia and Abkhazia. The very fact of their presence contribute to the protection of all people living there, including Russian citizens," Mr. Ivanov said when asked whether Russia was going to defend Russian citizens in South Ossetia (after the bloody conflict of the early 1990s, the population of the self-proclaimed republics began to adopt Russian citizenship as a guarantee against Georgia's possible attempts to return the "rebellious provinces" to its jurisdiction).
The Russian defence minister added that 98 Russian peacekeepers had died since the peacekeeping operation began in Abkhazia.
"We lost 98 lives for the sake of protecting all citizens," said Mr. Ivanov. He added that the Russian citizens were also protected with political and diplomatic means.
"It should be done with political and diplomatic means, and we are doing it," said Mr. Ivanov.
According to the Russian minister, the relations between the Russian and Georgian Defence Ministries are facing a series of prospects, including resumption of military training of Georgian servicemen in the Russian Defence Ministry educational establishments.
Military and technological co-operation between the two countries was interrupted in 1992.
The Russian defence minister thanked the Georgian side for its constructive position at the Moscow negotiations.
Georgian Defence Minister Georgy Baramidze, in turn, said that the tone and sincerity of the Moscow talks between the two defence ministers inspired the Georgian side. "The tone and sincerity of the talks is inspiring," said Mr. Baramidze. "History itself provides for our friendship and close partnership."
Mr. Baramidze emphasised that Georgia valued Russia's support for its territorial integrity. At the same time, he noted that "a lot of issues have amassed, and they cannot be solved in one day."
Mr. Baramidze also said that the talks considered the situation in Georgia's conflict zones. "At issue was minimising the risk for peacekeepers and citizens living in these parts of Georgia," said Mr. Baramidze.
"Neither side can be interested in flaring up conflicts," the minister said recalling that Georgia had offered a series of peace initiatives to settle the Georgian-Abkhazian and Georgian-Ossetian conflicts.
Mr. Baramidze also said that Georgia was going to join the treaty on the control over anti-missile defence systems.
"Now specific mechanisms are being accomplished to put the agreement into practice," he said.
Georgia will soon report who will be responsible for this issue.
Georgia also intends to create its own air defence system. When asked about whether Georgia might join the common CIS defence system, the minister said, "Georgia is going to develop its own air defence system and actively co-operate with Russian colleagues."
"Russia is the main country in the CIS," said Mr. Baramidze.
He continued that during his talks with the Russian defence minister, he had not mentioned the recent reports about Russian military aircraft allegedly violating Georgia's air space. At the same time, Mr. Baramidze noted that Georgia "could not but worry about who and when flies."
"This issue needs a complex approach. One should react to the official Tbilisi statements, and not media reports," said Mr. Baramidze.