Investigators say the airport did not conduct thorough enough passengers searches at the time of the explosion.
He denies the charge, saying regulations then in force did not require such strict controls. Mr Kamenshchik`s fortune has been estimated at $2.9bn (£2bn).
In an unexpected twist, government prosecutors disputed the court ruling, calling the accusations unfounded and contesting the plea for house arrest.
Mr Kamenshchik, 47, will remain under house arrest for two months.
The case against him comes against the background of the state`s long-running attempts to acquire a stake in Domodedovo, the BBC`s Oleg Boldyrev reports from Moscow. Mr Kamenshchik is refusing the sale.
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