Stig Grenov (born 15 March 1961 in Copenhagen) is a Danish teacher and politician.

On 27 October 2012 he was elected the chairman for the Christian Democrats, with no opposing candidates.

Stig Grenov became a teacher in 1986, graduating from Hellerup Seminarium, with majors in math, physics, geography and history.

Grenov was then elected the official new leader on 27 October 2012.

However, on the first live debate among the party leaders Grenov fell ill and deputy leader Isabella Arendt took his place in the debate, attracting much attention.