He said "the trust and the bond" in the US-Japan alliance was restored.
BBC: Obama and Shinzo Abe affirm US-Japan security alliance
Global Times believes Mr Abe has "ulterior motives" linked to the islands' row when he calls for a stronger US-Japan alliance.
BBC: China media: Anger against Abe
The joint military exercises - codenamed Keen Sword - are being held to mark the 50th anniversary of the US-Japan alliance.
BBC: US-Japan naval drills start as N Korea tensions rise
"With the increasing severity of the security environment in East Asia, the importance of the Japan-US alliance is increasing, " Mr Noda said.
BBC: Obama at Asean summit urges nations to ease sea rows
But Mr Abe, who heads a Liberal Democratic Party administration, has spoken out about the need to prioritise the Japan-US alliance amid a changing regional dynamic.
The US bases some 26, 000 troops on Okinawa under a long-standing security alliance with Japan.
BBC: US sailors admit Okinawa rape
The US bases some 26, 000 troops on Okinawa under the terms of a long-standing security alliance with Japan.
BBC: Okinawa rape case: Japan court jails US sailors
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