The paid-for app, which costs UK users 59p and 99 cents in the US, is called The Onion microfiche and only features headlines, including those from the paper's archives.
The app implores iPhone users to download the app with the line "You are clearly a busy person, otherwise, you wouldn't have such an important phone".
It also allows users to share Onion headlines via email and claims it is so "simple that even the simple-headed Luddite can use it".
The microfiche also enables users to select favourite stories and to access The Onion's audio and video podcasts.
Launched in 1988, purports to have been founded in 1756. It claims a print circulation of 690,000 and reports on both real and imagined events in a style that parodies traditional news outlets.
On a number of occasions, some of The Onion's fake news stories have been mistaken as real news by media organisations.
In 2002, a prominent Chinese newspaper carried a report claiming US Congress was threatening to leave Washington for the south or even Toronto, Canada, unless a new Capitol building was built with a retractable roof.