"North Korea is behaving very badly. They have been 'playing' the United States for years. China has done little to help!" Trump said on Twitter.
Earlier in Seoul, Tillerson said military action would be a possibility if the threat posed by North Korea were to escalate.
"We are exploring a new range of diplomatic, security, economic measures. All options are on the table," Tillerson told reporters at a joint press conference with his South Korean counterpart Yun Byung-Se.
Tillerson announced the end of Washington's "strategic patience" -- the stance of the previous administration under Barack Obama.
The secretary of state is currently touring northeast Asia, after a missile launch last week that Pyongyang described as a drill for an attack on US bases in Japan.
Tillerson is expected in China tomorrow. Beijing is North Korea's main diplomatic ally and trade partner.
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