Mr Paul called the repeal of the Affordable Care Act "the biggest issue before Congress and the American people right now" and demanded House leaders release the text of the bill.
Bloomberg reported the bill was being kept in a dedicated reading room and that it will only be available for viewing by members of the House Energy and Commerce panel from Thursday. No one will be given copies to take away in a bid to avoid leaks, it said.
Mr Paul said: "I am heading to the secure location where they are keeping the House Obamacare bill. I will demand a copy for the American people.
"What is the House leadership trying to hide? My guess is, they are trying to hide their 'Obamacare Lite' approach.
"I call on them to make this process transparent and to let the sunshine in. Today."
White House reporters said politicians were hunting down the bill but that it had been moved from its initial location.
Ok so the bill has been moved to a new secret location after the old secret location got too much heat. The hunt continues.— Paul McLeod (@pdmcleod) March 2, 2017
Support for Barack Obama's flagship policy has reached its highest level since it was introduced in 2010, weeks after President Donald Trump signed an executive order to kickstart the dismantling of the healthcare law. It now enjoys majority support—at 54 per cent—for the first time.
The Affordable Care Act insures some 30 million Americans, although part of the current administration's policy is to "repeal and replace" it.
Since its inception, the act has divided opinion, with roughly as many Americans approving as disapproving of the law as recently as December.
The latest survey found those who disapproved of the law were more heavily in favour of making amendments to the existing policy rather than repealing it entirely.