Conny Silfverberg (born March 7, 1959) is a retired Swedish centre.
He spent his entire pro career from 1976 to 1989 with Brynäs IF of the Elitserien. In 420 games he scored 129 goals and 136 assists. He won the league scoring championship in 1984-85 and his team was the league champion in 1979-80.
Slifverberg played in the 1977 IIHF European U18 Championship and the 1978 and 1979 World Junior Ice Hockey Championships.
His career was cut short in 1989 at the age of 30 by a terrible bout of salomonella.