The stock market is only about halfway through a bull run that will catapult the Standard & Poor's 500 another 60 percent over the next two to three years, well-known stock analyst Laszlo Birinyi told CNBC.

NYSE traders

As many other market pros await a pullback, Birinyi, head of Birinyi Associates, anticipates that the market will continue the rally that began off the March 2009 lows.