The talks took place on the sidelines of an Asia-Pacific economic meeting in Sydney, Australia, today.
Putin said experts from both sides would meet again soon and inspect a radar station Russia operates in the Caucasus.
"As far as the missile defense problem is concerned, we noted that our [Russian and U.S.] experts are expected to meet again very soon and travel to the Qabala radar station in Azerbaijan," he said. "Therefore, we see that our cooperation in this matter continues."
Bush described the talks as "both cordial and constructive."