Greig played his junior football for
Brunswick in the
Victorian Football Association, and in 1968 he won the
Gillon Medal as the best and fairest in the VFA Thirds competition. He was recruited to the VFL by , at the age of 19. From the beginning his technical brilliance did not go unnoticed, and he was picked for his first State Representative game after only having played nine senior VFL matches. Greig went on to represent the
Big V 12 more times over his career, and was state captain in 1978. In 1973, he won the
Brownlow Medal with 27 votes. In 1974, he became the eighth player to win the Brownlow twice, again with 27 votes, and the fifth player to win it back-to-back. North played in the
1974 VFL Grand Final, their second appearance in a Grand Final. They lost to , but Greig was one of North's best players. The
following year, North won their first VFL premiership and again, Greig was among North's best players. Earlier in the year, he had been awarded membership of the
Order of the British Empire for his services to football. With the retirement of
Barry Davis, Greig was appointed club captain at the start of the
1976 VFL season. But it was a position he did not relish, and subsequently missed out on the
1977 premiership. He was named an
All-Australian in 1983. Greig's final VFL match was the 1985 semi-final against , which North Melbourne lost by 30 points. ==Relationship with Ron Barassi==