The Blues confirmed the player has agreed a three-year contract with the Stamford Bridge club and will join after this summer's European Championships.
It represents a welcome success for Chelsea the day after United pipped them to the title.
S
ir Alex Ferguson's side have long been in the hunt for a right-back and assistant coach Carlos Queiroz confirmed their interest in Bosingwa earlier in the season.
United saw him as a successor to Gary Neville but Chelsea have moved swiftly to snap up the attack-minded 25-year-old.
The Portugal international's arrival will place more speculation around the future of Juliano Belletti. The Brazilian has been sidelined in recent weeks, with Michael Essien playing at right-back.
Chelsea's other right-back, Portugal's Paulo Ferreira, signed a five-year deal earlier this season and is unlikely to move on.
Bosingwa is set to play for his country in the European Championships next month, but was born in Kinshasa in the Democratic Republic of Congo.
Bosingwa moved to Porto in 2003, where he played under former Chelsea boss Jose Mourinho and has been their first-choice right-back for the past three seasons.
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