Mr Pompeo said popular short-form video app TikTok was among those “feeding data directly to the Chinese Communist Party”.
He delivered his comments days after Trump announced that he was banning Tiktok from the US.
The company has denied the allegations that it is conducted by or shares data with the Chinese government.
Speaking to Fox News Channel, Mr Pompeo said the action would be taken “with respect to a broad array of national security risks that are presented by software connected to the Chinese Communist Party”.
He said there were “countless” companies doing business in the US that might be sharing information on to the Chinese government. Data could include facial recognition patterns, addresses, phone numbers and contacts, he added.
“President Trump has said ‘enough’ and we’re going to fix it,” he told Fox News.
President Donald Trump told reporters on Friday that he planned to sign an executive order to ban TikTok from operating in the US, where it has up to 80 million active monthly users.
The short-form video app mostly used by people under 20 is owned by Chinese company ByteDance.
Many Republican senators have supported a plan by ByteDance to divest the US operations.
“What’s the right answer? Have an American company like Microsoft take over TikTok. Win-win. Keeps competition alive and data out of the hands of the Chinese Communist Party,” Senator Lindsey Graham wrote on Twitter.
US tech giant Microsoft has verified that it is continuing talks to buy the US operations of Tiktok.
Microsoft boss Satya Nadella had a talk with Mr Trump about the purchase on Sunday, the tech firm said.
The threats of taking action against TikTok and other Chinese-owned software come in the middle of heightened strain between the Trump administration and the Chinese government over numerous matters, including trade disputes and Beijing’s handling of the COVID-19 outbreak.