The redesign offers clearer navigation and adds 16 human-curated video content categories for users to explore, including Music, Animation, Documentary and Travel.
The update also takes advantage of devices running iOS 9, with an option added for picture-in-picture viewing and the benefit of Spotlight search integration.
Elsewhere, the uploading process has been modified to help video creators share their content quicker and easier than before, with new options to password-protect videos or hide them from public listings.
The app's sharing options have also been expanded to bring them in line with Vimeo's desktop web interface, allowing videos to be shared publicly, with select groups or only with people you follow.
Additionally, videos in the stream view now appear as thumbnails with descriptions instead of taking up the whole screen, while the new player window offers recommendations for what to watch next, as well as a simpler commenting system and a streamlined method of viewing videos offline.
Vimeo is available on the App Store as a free download for iPhone and iPad.