NOW TV went live earlier in the month on PCs, Macs, Android smartphones and laptops, enabling users to stream content over the web from Sky Movies either via subscription or pay-per-view.
A dedicated app is now available from the iTunes App Store for Apple iPad and iPhone owners to access the service.
Users of the app are able to stream movies such as X-Men: First Class, Bridesmaids, Green Lantern and Thor on their device over WiFi or 3G mobile data.
They can either access a library of up to 1,000 films via 'pay & play', costing 99p for a classic title or £3.49 for the latest blockbuster.
Alternatively, they can opt for a free 30-day trial of the Sky Movies Pass, offering instant and unlimited streaming access to the entire Sky Movies collection.
After the 30-day period expires, the subscription will cost £15 per month - almost three times as expensive as rival Netflix and LoveFilm's streaming deals.
NOW TV is designed as a way to access Sky content on multiple devices with "no contract, set-up costs or installation". It launches with movies, but will add entertainment and Sky Sports programming later in the year.
Forthcoming content includes Premier League football, England Test cricket and the Masters from Augusta, along with shows from Sky channels such as Sky Atlantic, Sky Arts, Sky1 and Sky Living.
This summer, NOW TV will expand to YouView - the BBC-backed Freeview set top box service that launched this month - and Microsoft's Xbox 360 console.
Later in the year, it will arrive on more connected platforms, including Sony's PlayStation 3 console and streaming media players made by Roku, the company in which Sky recently made a significant investment.