Brian Acton tweeted: "It is time. #deletefacebook" as the hashtag trended amid growing outrage over the social media giant's links to controversial British data firm Cambridge Analytica (CA).
The entrepreneur's apparent advocacy for people to remove their profiles came as Facebook faced pressure to explain its privacy safeguards from regulators and politicians in the US and UK.
CA was suspended from the social media giant last week after it emerged that data on 50 million users had not been destroyed as agreed.
Founder Mark Zuckerberg was called on to explain the company's data protection procedures to MPs in person.
Damian Collins, chairman of the Digital, Culture, Media and Sport Committee wrote to Mr Zuckerberg on Tuesday requesting that the firm explains the "catastrophic" failure.
The data firm suspended its chief executive, Alexander Nix, after recordings emerged of him making a series of controversial claims, including boasts that CA had a pivotal role in the election of Donald Trump.
On Monday, Downing Street released a statement calling the Facebook breach "very concerning", while MPs in the House of Commons voiced their concerns over interference in democracy.
Twenty-four hours later, Information Commissioner Elizabeth Denham, who is investigating the use of personal data for political campaigns, confirmed she was seeking a warrant to access CA's systems after the firm failed to respond to an earlier demand.
Meanwhile in a statement, the CA board said that Mr Nix had been suspended "with immediate effect, pending a full, independent investigation".
