During a meeting with President Nursultan Nazarbayev, Putin said Russia and Kazakhstan were "connected historically and today by a thousand threads, which unite us and help us develop, supporting each other."
Speaking to young Russians in late August, Putin said Kazakhstan had only become a state under Nazarbayev.
"The Kazakhs had never had statehood," Putin said at the time. "He created it. In this sense he is a unique person for the former Soviet space and for Kazakhstan, too."
His remarks were interpreted as suggesting that Kazakhstan's independence might not survive Nazarbayev, who is 74 and has been president since the fall of the Soviet Union in 1991.
Putin went on to say that most people in Kazakhstan wanted closer relations with Russia and to remain part of the "big Russian world."
Russia justified its annexation of the Crimean Peninsula and support for separatists in eastern Ukraine by saying it has a responsibility to protect ethnic Russians outside Russia. Like Ukraine, Kazakhstan has a large ethnic Russian population.