Billionaire hedge fund manager Leon Cooperman defended his industry, saying passive management isn't how famed investors have built their fortunes.

"All I know is if the ability to underperform exists, the ability to outperform also exists. Warren Buffett, Mario Gabelli, Stan Druckenmiller and Ken Langone — and a little bit Lee Cooperman — didn't get to their net worth by buying an index," Cooperman said Wednesday on CNBC's "Halftime Report."