Selected branches of the fashion chain will soon stock music by Universal Music Group artists, including the likes of Rihanna, Lady GaGa and Jay-Z.
Primark, which has 242 stores across the UK, decided to trial entering the music market as "fashion and music have always been synonymous", a spokesperson told BBC News.
"Primark has a strong relationship with licensed product and the CDs are a natural complement to Primark's merchandise," they added.
Earlier this year, it was revealed that overall album sales in the UK have dropped by 13.8%.
High street music store HMV posted an annual loss in August as sales fell below £1 billion for the first time since it went public.