South Korea's Yonhap news agency quoted a government source in Seoul as saying North Korea had test-fired a surface-to-air missile and a surface-to-ship missile off its east coast, both with a range of about 80 miles, Reuters reported.
The North fired three short-range missiles on Monday and conducted an underground nuclear test -- its second since 2006.
Rice said on morning news programs Tuesday that the United States and the international community have no intention of allowing North Korea either to have its own nuclear weapons program or export nuclear materials to other nations or rogue states.
She added that China's concern over the program offers the international community a stronger stance against the North's government.
"China has an interest in what transpires for North Korea," she said, quoted the Associated Press. "They share a border. They want to see a North Korea that's stable. On that, we are in full agreement."
Her comments came a day after the U.N. Security Council condemned the tests as a "clear violation" of a 2006 resolution banning the regime from developing a nuclear program.
More criticism of Pyongyang came from U.S. lawmakers. House Speaker Nancy Pelosi, D-Calif., and Sen. John Kerry, D- Mass., on a visit to China, denounced the move. And Chairman of the Joint Chiefs of Staff Adm. Mike Mullen said North Korea was further isolating itself, according to the AP.
Meanwhile, South Korea said it would join a U.S.-led initiative to intercept ships suspected of carrying weapons of mass destruction, something Pyongyang has warned it would consider a declaration of war, Reuters reported.
Pyongyang, for its part, said the United States was the aggressive one. "Our army and people are fully ready for battle ... against any reckless U.S. attempt for a pre-emptive attack," the North's KCNA news agency said.