updated 11:48 a.m. ET Dec. 16, 2007

YOKOHAMA, Japan - Kaka scored one goal and set up two more Sunday to lead AC Milan to a 4-2 victory over Boca Juniors in the Club World Cup final.

The Brazilian twice set up Filippo Inzaghi and scored on a solo effort to give the European champions a record fourth club world title.

"I'm really satisfied," Kaka said. "This was the only trophy I wanted that was missing and I can't put my feelings into words. I've managed to win all the trophies that I thought would be difficult to win."

Milan avenged its penalty-shootout defeat to Boca in the 2003 Toyota Cup, the forerunner to the Club World Cup.

Milan played the last 13 minutes with 10 men after defender Kakha Kaladze was sent off for a harsh tackle on Leandro Gracian.

Kaka, who is favored to win the FIFA World Player of the Year award Monday, cut in from the left and teased Jonatan Maidana before slipping the ball under goalkeeper Mauricio Caranta to put Milan ahead 3-1 in the 61st.

"Kaka is the best player in the world," said Milan captain Paolo Maldini, who won his third world club title. "Every time the match is important he is there."

The Brazilian had caused similar panic in the 21st by running at the Argentine team's defense before crossing for Inzaghi to sidefoot into an empty net for the opening goal.

Rodrigo Palacio equalized a minute later with a header at the near post from a cross by Claudio Morel Rodriguez.

Defender Alessandro Nesta scored a rare goal in the 50th to put Milan ahead 2-1 after Boca failed to clear a free kick from the right by Andrea Pirlo.

Inzaghi shot into an empty net in the 71st after another pass from Kaka for Milan's fourth goal.

Massimo Ambrosini scored an own-goal in the 85th before Boca substitute Pablo Ledesma was sent off in the dying stages for a tackle on Kaka.

"Winning this trophy was our goal," Milan coach Carlo Ancelotti said. "It is a big success and we were confident we would win."

Milan previously won the club world title in 1969, 1989 and 1990.

The Serie A giants picked up $5 million for the victory and became the first European team to win the revamped competition.

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Brazil's Internacional downed FC Barcelona 1-0 in last year's final, and Sao Paulo beat Liverpool by the same margin in 2005.

Earlier, the Urawa Reds of Japan defeated Etoile Sportive du Sahel of Tunisia 4-2 on penalties after a 2-2 draw to claim third place.

Striker Washington Stecanelo Cerqueira, playing his last game for the Reds before returning home to Brazil, scored two goals in regular play and another in the penalty shootout that followed to give the Asian champions the bronze medal.

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