Ssimbwa threw in the towel after his charges lost 2-1 to Thika United in a Kenyan Premier League match on Sunday.
“The coach has resigned and his assistant (John) Baraza will take over,” Sofapaka president Elly Kalekwa said as quoted by Daily Nation.
Kepha Aswani put the 2009 league champions in the lead at Thika County Stadium but goals from Clement Mata and substitute Edmond Adem condemned Batoto ba Mungu.
“He (Ssimbwa) claims players are sabotaging him and opted out despite the management committing to fully support his job. Anyway, we’ve to move on and life will continue,” added Kalekwa.
The former Express, KCCA and Soana coach intends to make communication during a press conference on Tuesday.
“I will have a press conference with you people on Tuesday we shall talk more.”
Ssimbwa took over at Sofapaka in January last year and the club is home to country-mates Feni Ali, Umar Kasumba, Rogers Aloro and goalkeeper Mathias Kigonya.