"We will seek the extradition of Aidar Akayev, the ex-president's son," Uchkun Karimov said.
Karimov said that the Kyrgyz Prosecutor General's Office had previously submitted two requests for the extradition of Aidar Akayev to Russia, which were rejected by prosecutors for being "a matter of the security of Russian sovereignty."
Businessman Aidar Akayev is wanted by Kyrgyz law enforcers over alleged charges of fraud and embezzlement. Five criminal cases have been launched against him.
In addition, Karimov said that Kazakhstan had refused to extradite Askar Akayev's son-in-law, Adil Toigonbayev, stating that he has Kazakh citizenship.
Former president Askar Akayev was ousted in the March 2005 "tulip revolution," when he fled to Moscow.
Kyrgyz law enforcers have so far launched 106 criminal cases against Akayev's relatives and associates, but no criminal case has so far been filed against the former leader himself.
Among the accusers, there is the Financial Police Service, the National Security Committee and the investigation department.
The only member of the Akayev family to have returned to the country after her father's deposition in 2005, is his daughter Bermet, 35, who was banned in late April from running in a parliamentary by-election in the northern Kemin province, on the grounds that she had spent the past two years outside Kyrgyzstan.
Bermet's mother, Mairam, headed a charity foundation suspected of having been used as a channel for illegal money transactions.