With new polling showing public opposition to Obamacare up sharply since its rollout October 1, House Republicans continue to hammer President Obama over shortfalls in the new healthcare overhaul while pressuring Democrats to get rid of the law.

After a bipartisan coalition in the House passed legislation last week to allow insurance companies to continue offering health policies that don't adhere to the tougher criteria spelled out in the Affordable Care Act, House Speaker John Boehner said the House will focus on oversight of the rollout before deciding what to do next.

"We're going to continue to do oversight so that we understand exactly what's happening out there," Boehner, R-Ohio, said during a news conference in the Capitol today. "Our members are going to continue to collect stories. No decisions on what it is that we may or may not do, but we're going to do everything we can to try to protect the American people from this awful law."

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Boehner said cancellation notices are not the only issue with the law that's upsetting Americans: "It's everything that follows."

"What we're seeing here is a pattern of broken promises from the administration. You know, the one is, well, 'if you like your health care plan you can keep it.'" Boehner said. "Then secondly what the president said is that, you know, if we pass Obamacare, premiums are going to go down. And I think what many people are seeing is that premiums are going right through the roof. Listen, it's just one more reason why this health care law needs to be scrapped now."

Some six weeks since the health care website launched, Americans by 63-33 percent disapprove of the president's handling of implementation of the new health care law, according to a new ABC News/Washington Post poll.

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House Majority Leader Eric Cantor also said "it is hard for [Americans] to trust any assurances" made by the president regarding to health care law, and called on Democrats in the Senate to follow the House's lead and vote to allow individuals to keep their health care plans.

"We've heard the president say that he didn't know about the problems with the website, but yet a report has just come out that say that there were warning signs throughout the White House from a report back in March that there was going to be a problem with the rollout of this health care law," Cantor, R-Va., said. "Nancy Pelosi and the House Democrats were some of the architects of Obamacare. They helped design this law. Last week 39 of them joined us in trying to help Americans that are being hurt under this law. It is time for the Senate to join them and join us and act to help protect the American people."