A call for a ban on members of Congress and their families trading or owning stocks has continued to grow, a measure that Democratic Representative Mike Levin of California said all elected officials, regardless of political party, should agree with.

"No member of Congress should be allowed to use non-public material information that they get as part of their job and go and trade shares of stocks on it," Levin told CNBC Washington Correspondent Emily Wilkins at the CNBC CFO Council Summit in Washington, D.C., on Wednesday. "It's outrageous," he said.

On Tuesday, Rep. Anna Paulina Luna, a Florida Republican, introduced a discharge petition that would try to force a vote on a bipartisan bill that would usher in such a measure .

That bill, called The Restore Trust in Congress Act and int

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