Greendown Community School opened in 1986 adjacent to Lydiard Country Park to serve as a comprehensive for the newly constructed area. In the late 1990's a prefabricated Humanities block was installed in order to cope with an influx of new students arriving from the Swindon area. A further influx of pupils led to the construction of a new Maths block and second sports hall in 2003.
The school was awarded specialist status in 2007 and specialised in Sport, Maths, and Computing. With the grant that was awarded, a gym was bought, a new astroturf was constructed, all computers in the school were upgraded and every Mathematics classroom received interactive whiteboards.
In 2011, having successfully achieved Academy status, Greendown Community School formally changed to become Lydiard Park Academy.
In September 2014 the Academy introduced a Sixth Form. In 2015 the Academy achieved the highest results in the Swindon area with 67% gaining 5 A* – C (including English and Maths). In 2016 the Academy continued its trend of achieving good results with 68.5% gaining 5 A* – C (including English and Maths). However, the new measure of progress 8 stood at +0.19 which gave it second place in the Swindon league table. This put it in the top 20% of all schools nationally.