It admitted third-form students in 1974 and expanded to all forms the following year, when it was formally opened by Phil Amos, the Minister of Education.
Like most New Zealand state secondary schools of the era, Logan Park High School was constructed to the S68 standard plan, characterised by its single-storey classroom blocks of masonry construction, low-pitched roofs and internal open courtyards.
On 17 March 2020, the high school was shut down for 48 hours after one of its students tested positive for the Coronavirus disease 2019.
Ms Johnson retired in 2017, and in September of that year, co-principals Peter Hills and Kristan Mouat were appointed.
Logan Park High School is regarded as important in the history of New Zealand rock music as being one of the elements that made up the Dunedin sound.
Many of the musicians who were at the forefront of this movement in the 1980s were pupils of Logan Park when they made their first public musical performances.