(CNN) Following weeks of questions over Mitt Romney's personal wealth, the presumptive GOP nominee said Thursday that criticism of the nation's wealthy, including his family, would lead to economic demise.

"There are people who are trying to attack success and are trying to attack our success; that's not going to be successful," Romney said in an interview to air Thursday on CNN's "Piers Morgan Tonight." "When you attack success you have less of it, and that's what we've seen in our economy over the last few years." Follow the Ticker on Twitter: @PoliticalTicker

The 2012 presidential campaign has centered on debate over Romney's wealth this summer, with President Barack Obama's team raising concerns about the Republican's decision to hold offshore investments and calling on Romney to release tax documents to answer any lingering queries about his financial portfolio.

The White House hopeful has firmly stated he would not release anything further than the two years worth of tax documents that he has already released and annual financial disclosure forms separately required by federal election law.

Romney, whose wealth is worth up to $256 million, has also been railed against over his tenure at the private equity firm he co-founded, Bain Capital. Democrats argue he has been misleading about when exactly he left his position as CEO at the company, saying he stayed on three years longer than he's previously admitted-a time window, Democrats say, in which he would have overseen a period in which the company is now being criticized for encouraging the practice of outsourcing.

Along with defending his personal wealth, Romney and Republicans have strongly stood against Obama's recent proposal to raise taxes on households making more than $250,000 per year, arguing such a move would have a negative impact on the economy and discourage growth.

"Dividing America based on who has money and who hasn't who is successful and who is less successful That is not the American way," Romney said.

Obama, defending his tax proposal, has frequently said his policies are not aimed as an attack on the wealthy.

"This has nothing to do with me wanting to punish success. We love folks getting rich. I do want to make sure that everybody else gets that chance as well." Obama said at a campaign stop in Iowa earlier this month. "For us to give a trillion dollars worth of tax breaks to folks who don't need it and aren't even asking for it, that doesn't make sense."

Romney made his comments during a sit-down interview in London, with his wife Ann by his side. The former Massachusetts governor, who headed the 2002 Winter Olympic Games in Salt Lake City, is in town to attend Friday's opening ceremony for this year's Olympic Games. The stop in London marks the first leg of a three-country trip, which also takes him to Israel and Poland over the next week.

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Romney in Piers Morgan interview: Stop attacking success