But there's plenty of players ahead of them.
Boosted by Sunday's top-five finish at Abu Dhabi, Woods rose eight spots from last week to No. 17. He started the year ranked 23rd.
Mickelson, who missed the cut at the PGA Tour's Farmers Insurance Open, fell one slot to 16th.
Luke Donald remained the world's No. 1 after a T-48 finish at Abu Dhabi.
After winning the Abu Dhabi HSBC Championship, Robert Rock, ranked 117th entering the week, rose to 55th.
Woods strengthened his position after finishing tied for third Sunday, 2 shots back, having entered the final round with a share of the lead. It was the third time in his last five tries that he failed to win despite leading after 54 holes, the ninth time in his career of 64 chances worldwide.
Woods will make his PGA Tour season debut Feb. 9 in the AT&T Pebble Beach National Pro-Am. Mickelson will play again this week at the Waste Management Phoenix Open in Scottsdale, Ariz.