Stock picks in the 'Squawk Box' Platinum Portfolio

The stock market has been on a roller coaster this year. The S&P 500 followed up its 30 percent 2013 gain by tanking in January. The index fought its way back through February, before moving sideways in March. This month has started out dismally, with only a rare bright spot Wednesday.

So how do you navigate this volatility? Many market watchers have characterized the current environment as a stock picker's year.

Ten leading money men and women have agreed to give investors access to their three best ideas this week. They're part of what CNBC's "Squawk Box" is calling the Platinum Portfolio.

Here are the participants so far and their picks, which they all own (with the exception of Delphi Management's Scott Black):

Scott Black, the president and founder of Delphi Management, loves cheap stocks. Lucky for him, he found three amid a roller-coaster year for equities. He named SanDisk, PDC Energy and Berkshire Hathaway's class B shares, as his top stock picks. He called the last one "ridiculouslycheap."

Yacktman Asset Management's Jason Subotky says he found the one of the cheapest stocks in the market—Cisco Systems, the technology bellwether that trades at 15 times earnings. He also named 21st Century Fox and Procter & Gamble as cheap, steady names that investors can hitch onto for the long term.

Read MoreHere's one of the cheapest stocks in the market: Money manager

Money manager Martin Sass said he found a health-care stock nearly immune from bad quarters: McKesson. The chairman and CEO of MD Sass also told CNBC Thursday that he likes also transition names such as airplane leasing company AerCap and local TV company NexStar Broadcasting.

Read MoreMoney managers give their healthiest stock picks

Westwood Holdings Group founder Susan Byrne said Thursday that she's looking for stocks with dividend growth such as Qualcomm, Wells Fargo, and Johnson & Johnson.

Matrix Asset Advisors' David Katz cautioned investors Wednesday that stocks won't repeat last year's 30 percent gains. So he's looking to buy shares in companiers with solid business strategies such as medical diagnostic manufacture Hologic, industrial company Eaton, and Capital One.

Read MoreSlow down with 'new money': Portfolio manager

Saturna Capital portfolio manager Paul Meeks told CNBC Wednesday likes three tech stocks: Facebook, semiconductor maker Microchip Techology, and digital media software-maker Adobe Systems.

Firsthand Capital Management's Kevin Landis said on Tuesday he liked three stocks that could see renewed momentum—sapphire glass maker GT Advanced Technologies, semiconductor provider LAM Research, and—like Meeks—favors Adobe Systems.

Read MoreSix tech stocks to weather volatility: Pros

Oscar Schafer, chairman of Rivulet Capital, also provided his stock picks Tuesday—naming home health-care provider BioScrip, European data center Interxion and 3-D movie tech firm RealD as his strongest plays.

Louis Navellier, founder of Reno, Nev.-based Navellier & Associates, kicked off the Platinum Portfolio week. He likes lesser-known momentum names such as Chinese online retailer Vipshop, oil and gas producer Matador Resources and pharmaceutical company Actavis.

Read MoreHere's where the real momentum lies, says Navellier

Jim O'Shaughnessy, founder of Stamford, Conn.-based O'Shaughnessy Asset Management, told CNBC on Monday that he's chasing dividend plays such as Canadian Oil Sands, telecom company Telefonica Brasil and Colombian oil and gas company Ecopetrol.

By CNBC's Matthew J. Belvedere