Sen John Barrasso on Saturday called for a repeal of President Barack Obama's health reform law, saying it has failed to solve major issues with the U.S. health system.

"It is a law that is bad for patients, it is bad for the nurses and the doctors who care for those patients, and it's terrible for tax payers," he said in the weekly address.

The U.S. Supreme Court upheld the law Thursday, including the mandate that many individuals obtain or retain coverage, or otherwise pay a fine.

Barrasso, a doctor and a Republican from Wyoming, argued that the law further ailed the country's struggling health care system and weak economy.

"In the middle of a tough economy, President Obama passed a health care law that has made our economy even worse," he said. "With unemployment over 8 % for over 40 straight months, we cannot afford for this tax to stay in place any longer."

The high court ruled that the fine is a tax and Republicans have since criticized the law for being a tax increase on struggling, middle-class families. Democrats have instead called it a penalty.

"The president's health care law hires more IRS agents to investigate you and to make sure you buy insurance," Barrasso said, "but it fails to deal with the shortage of nurses and doctors to actually take care of you."

Other negative impacts to the health care system include Medicare reductions and increases to premiums, he said.

Barrasso said Republicans will "replace this law with real reforms that actually lower costs and improve access to care."

He said his party would craft the bill through a more open process -- a swipe against Obama's pledges of transparency. The solution favored by Republicans would include tort reform, allowing insurance to be purchased across state lines, allowing small businesses to pool for better rates and "allowing premium breaks to encourage healthy behavior."

"Now, we have another chance to reform our health care system and in a way that does not result in higher costs, fewer choices and less personal control," he said.

Barrasso's address notably makes no mention of the word "Obamacare," which Republicans have long used as a criticism of the law. Nor does he mention the Republican Party's presumptive presidential nominee, who advocated for a state health care law when governor of Massachusetts that has been criticized by some Republicans and compared to Obama's plan.