Sen. Charles Schumer, D-N.Y., and Sen. Richard Blumenthal, D-Conn., said Sunday they will ask the Justice Department and the U.S. Equal Employment Opportunity Commission to look into the matter. They argue that the practice is objectionable, according to an Associated Press .

The lawmakers want the agencies to determine if requesting social media passwords by employers violates federal laws that protect unauthorized access to data, notably the Stored Communications Act or the Computer Fraud and Abuse Act, the report said.

The development comes on the heels of Blumenthal's vow to to address the issue.

Facebook, too, has about the practice and pledged to work with policymakers to address it, as well as engage in legal action where necessary.

"While we will continue to do our part, it is important that everyone on Facebook understands they have a right to keep their password to themselves, and we will do our best to protect that right," Facebook's Chief Privacy Officer for Policy Erin Egan wrote in a company blog.