Lucidi, an All-American at the University of Southern California, built a commanding 6-up lead after the morning session and never looked back.
'It's pretty surreal right now,' said Lucidi. 'It hasn't sunk in yet.'
Lucidi, 21, never trailed in the 121 holes she played in six matches and eliminated two U.S. Curtis Cup players on her way to the victory.
Besides the Robert Cox Cup, Lucidi also earned an exemption into the 2003 U.S. Women's Open.
'Juli Inkster (the 2002 Open winner) is my favorite player,' Lucidi said. 'Just knowing that I get to play with her next year is enough for me.'
Lucidi reached 1-up after Jackson bogeyed the opening hole and increased her advantage by the turn. Lucidi moved to 2-up with a birdie at the eighth and climbed to 3-up at the ninth after Jackson conceded with a double bogey.
Jackson had her chances, however, but could not capitalize. At the 10th, the 21-year-old from Belton, South Carolina missed a three-foot putt to win the hole. She struggled with the putter again at the 16th, where she also failed to convert from three feet.
'I guess I was putting so much pressure on having to make both of those that I just missed them,' said Jackson, who took 35 putts over the morning 18 holes.
Lucidi continued her fine play on the inward nine and stood at 6-up after Jackson bogey at the 18th.
Lucidi, who had built early leads in her previous matches, held on in the afternoon. Jackson pulled within two with a birdie at the 28th hole and again with a birdie at the 31st, but it was not enough to overcome Lucidi.
After finding all her fairways in the morning round, Lucidi was a bit wayward in the afternoon, hitting just seven of 12. She hit 22 greens in regulation and needed 57 putts overall in the championship match.
Lucidi reached the final with a 3 & 1 victory over Australia's Lindsey Wright, while Jackson advanced over Maru Martinez of Venezuela in 19 holes.