The launch comes just in time for the UEFA Europa League and UEFA Champions League Finals, which will be available for UK-based viewers to watch for free.
Like its mobile and smart TV counterparts, the PS4 app allows access to BT Sport 1, BT Sport 2, BT Sport 3, ESPN, Boxnation and the BT Sport Extra channels.
BT has also announced that the app will offer selected video-on-demand content and highlights.
BT Sport customers can get the new app on PS4 by visiting TV & Video from the content launcher or PlayStation Store and it free to download. Existing customers can use their BT Sport subscription login to view content, while new customers can sign up for £10 (€11.61) a month with BT Broadband, or £29.99 (€34.82) a month on its own.
EE customers on a smart plan can select the BT Sport app as one of their swappable benefits via the My EE app. They can then add access to the large screen for £5 (€5.81) per month from My EE or by texting SPORT to 150.