The former England manager had been heavily linked with the switch, and he is looking forward to continuing SIPG's climb up the CSL after ninth and fifth-place finishes in their first two top-flight seasons.
"I am very happy and very proud that it is finally official that we are here and I am going to be the head coach of this club," Eriksson told a news conference.
"I am looking forward to start work and looking forward to a new challenge."
During his 19-months in charge at R and F, the Swede guided them to sixth in his maiden season, before a third-place finish this year secured a place in next season's AFC Champions League.
However, achieving R and F's highest league finish was not enough to earn him a new contract, and last week it was announced he had left the club by mutual consent.
