Mickelson, ranked No. 2, was the runner-up in last year's tournament, losing to Charles Howell III in a three-hole playoff.
Woods, who won his only PGA Tour event this year at Torrey Pines and also won at Dubai last week, is skipping Riviera for the second consecutive year.
Woods is expected to put his five-tournament winning streak on the line in two weeks at the Accenture Match Play Championship near Tucson.
In addition to Mickelson, the other top players who will be at Riviera are third-ranked Steve Stricker, No. 5 Adam Scott, No. 6 Jim Furyk, No. 7 Justin Rose, No. 8 Rory Sabbatini, No. 9 K.J. Choi and No. 10 Padraig Harrington, the British Open champion.
Sergio Garcia, Vijay Singh, U.S. Open champion Angel Cabrera, Masters champion Zach Johnson and Mike Weir, a two-time winner at Riviera, are also playing. John Daly was given a sponsor's exemption into the field.
The last four places in the 144-player field will be determined in qualifying Monday at Industry Hills Golf Club's Eisenhower Course in the City of Industry.
-- Thomas Bonk