Gandhi also elevated AICC secretary A Chella Kumar as incharge of Goa, replacing Singh who was embroiled in a fiasco in government formation in the coastal state.
Another party leader Madhusudan Mistry ceased to be a general secretary after he was made a member of the party's Central Election Authority for holding the organisational polls later this year.
"Congress President Sonia Gandhi has assigned the tasks of looking after Karnataka and Goa affairs to new AICC teams. While K C Venugopal has been made general secretary incharge of Karnataka, A Chella Kumar has been made AICC incharge of Goa," party general secretary Janaradan Dwivedi said in a statement.
He will be assisted by four secretaries to take care of Karnataka affairs--Manickam Tagore, PC Vishnunadh, Madhu Yashki Goud and Sake Sailjanath.
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In Goa, where the party failed to form its government despite getting 17 seats, Chella Kumar has been made the AICC incharge of Goa, while Amit Deshmukh will be the Secretary AICC of the state.
As Congress's Goa unit incharge, Singh failed in government formation while the BJP retained power after getting only 13 seats.
Though removal of Singh, considered close to the Gandhis has shocked many, he continues to be general secretary incharge of Andhra Pradesh and Telangana.
Meanwhile, Mistry also ceased to be the party's general secretary as he was made a member of the Central Election Authority.
"The Congress president has approved the composition of the Central Organisational Election Authority of the AICC. Mullapally Ramachandran will be its Chairman and Bhubaneshwar Kalita and Madhusudan Mistry will be its members," Dwivedi said in another statement.
Gandhi also formed an Advisory Committee of CEA in which Shamsher Singh Dullo, Rajya Sabha MP, Ashk Ali Taq, former MP and Biren Singh Engti, MP, have been made members.
Gandhi had earlier appointed former Rajasthan Chief Minister Ashok Gehlot as party's general secretary incharge of Gujarat, slated to go to polls later this year, removing party leader Gurudas Kamat from the post.
Some more changes are expected in other states like Himachal Pradesh which goes to polls later this year along with Gujarat.