In 1989, Inga Peulich joined the Moorabbin Branch of the Liberal Party and a year after that, was elected to the Moorabbin City Council. She was a Liberal member of the Victorian Legislative Assembly from 1992 to 2002, representing the electorate of Bentleigh. One of many members elected in Jeff Kennett's landslide win at the 1992 election, Peulich was a prominent backbencher before being swept away in the party's landslide loss at the 2002 election.
After losing her seat, she became involved in the party's administrative wing, and rose to become state vice-president. She returned to parliament at the 2006 election, being elected to the Legislative Council as one of the members for South Eastern Metropolitan Region after defeating incumbent member Chris Strong for a winnable position on the Liberal ticket. Inga Peulich is married to small business owner Savo Peulich. Inga and Savo have a son named Paul. Peulich's husband Savo, son Paul and mother Nena Dosen all ran as candidates for the 2003 Glen Eira City Council Elections. Savo ran for Jasper Ward, whereas Paul and Nena ran for Mackie Ward.