Kreische spent his entire career with his hometown club, Dynamo Dresden, scoring 127 goals in 234 DDR-Oberliga games between 1964 and 1978. He was East Germany's top scorer in 1971, 1972, 1973 and 1976, and was player of the year in 1973.
Kreische was an East German international, scoring 25 goals in 50 appearances. He was part of the 1974 World Cup squad, and was also in the 1972 Olympic bronze medal winning team. He and Heino Kleiminger were the only players to score four goals in one match for East Germany.
Following his retirement from football, Kreische worked as a coach with Dynamo's youth system and had a brief spell as first-team manager, during the 1995-96 season. April 2010: He works as successful scout for RB Leipzig.