First Lady Melania Trump sat next to the President during his remarks. The restrictions, which have not been finalized, would affect sweet and fruity flavors, but not mint and menthol, which are also said to attract teens. "We can't allow people to get sick", he said.
"People are going to watch what we're saying and parents are going be a lot tougher with respect to their children".
E-cigarettes have been on the US market for more than a decade.
"The law is clear that, before marketing tobacco products for reduced risk, companies must demonstrate with scientific evidence that their specific product does in fact pose less risk or is less harmful", acting FDA Commissioner Ned Sharpless said in a statement.
US public health officials are investigating 450 cases of lung illnesses related to vaping.
Public health officials in Idaho have confirmed that two people in the state have developed a serious lung disease linked to vaping.
The US Centers for Disease Control and Prevention, the FDA and state health departments have been investigating this outbreak. Government health officials have called the trend an "epidemic", and new statistics due out this fall are expected to show the problem worsening. E-cigarettes generally heat liquid containing nicotine. The chemicals are considered safe as food additives but their long-term effects when inhaled have not been studied. But that law did not apply to e-cigarettes, which were then a tiny segment of the tobacco market.