The device, priced at 99 dollars in the US (£60), will let users stream video, older PlayStation titles and games for Sony's handheld PlayStation Vita system to any TV.
The unit will also let PlayStation 4 players send the action to a second TV.
The PlayStation TV "micro-console" made its debut last November in Japan as PSVita TV.
Sony made the announcement during its annual presentation at the Electronic Entertainment Expo, the game industry's annual trade show in Los Angeles.
Sony also announced new instalments of the popular video-game franchises Uncharted and LittleBigPlanet on the PlayStation 4 as it celebrated the six-month-old games console's marketplace triumph.
Sony also premiered Abzu, an undersea odyssey from the creators of the award-winning Journey, and Entwined, a psychedelic 3-D flying game. The firm also showed new highlights from the steampunk thriller The Order: 1886 during its annual presentation at the Electronic Entertainment Expo.
On July 31, Sony will launch the open beta of its cloud-based PlayStation Now service, which will allow players to stream classic games from Sony's older consoles onto newer devices such as the PS4, the hand-held Vita, Xperia cellphones and Bravia TVs.
Sony is also demonstrating Project Morpheus, its virtual reality headset, at E3. That project, however, will not be available to consumers for at least another year.
Sony has led Microsoft since both companies began selling their latest consoles in November. Sony has sold seven million PlayStation 4 consoles to Microsoft's five million Xbox One units.
However, both companies have outpaced the sales of their predecessor consoles - the Xbox 360 and PlayStation 3 - during the same amount of time. And Sony's lead is far from insurmountable.
That makes exclusive titles like the just-announced Uncharted 4: A Thief's End and LittleBigPlanet 3 more important. But one much-hyped PS4 exclusive, the racing game DriveClub, was conspicuously absent at this year's E3 presentation.
Many of the games Sony showcased - including Ubisoft's Far Cry 4, Warner Bros' Batman: Arkham Knight and Deep Silver's Dead Island 2 - will also be available on the Xbox One, although Sony promised exclusive content or early beta access for each.
One exclusive was announced that will appeal to comic book fans: a live-action drama based on Brian Michael Bendis' popular series Powers will begin airing on Sony's PlayStation Network in December.