Meyiwa, 27, was killed in Zamo Section, Vosloorus around 20:00 on Sunday, according to the South African Police Service.
Bucs said: "The Orlando Pirates Football Club family has learned with sadness about the untimely death of our number one goalkeeper and current captain Senzo Meyiwa.
"This statement is being issued whilst Orlando Pirates officials are up and about dealing with matters that arise when such untimely and unsettling news is received.
"The club will be holding a press conference on Monday morning."
Pirates chairperson Irvin Khoza said: "This is a sad loss whichever way you look at it - to Senzo's family, his extended family, Orlando Pirates and to the nation."