Apple Inc. CEO Tim Cook on Tuesday rejected the allegation that Apple is "a monopoly" that should be broken up along with other U.S. tech giants such as Google, Amazon and Facebook.

Cook told U.S. media outlet CBS News in an interview that Apple is big in size and government scrutiny is "fair," but he declined to agree that his company is a monopoly.

"I don't think anybody reasonable is going to come to the conclusion that Apple's a monopoly," he said. "Our share is much more modest. We don't have a dominant position in any market."

The Apple CEO agreed that scrutiny of big tech companies by the government is fair. "We should be scrutinized."

He expressed strong disagreement about calls by some politicians in Washington that tech giants like Apple should be broken up.

Over the past few days, media reports said the U.S. authorities are mulling an antitrust probe into big tech companies for a wide range of issues, such as fake news, the policy of user privacy, their monopolized shares on advertising market and foreign influence in U.S. political affairs via social media platforms.