Sky TV subscribers signing up for the firm's Sky Go Extra service can currently take advantage of two months' free.
With Sky Go Extra, customers can stream their Sky channels on up to four different connected devices - as opposed to two with the standard Sky Go service.
This means a Sky TV customer can potentially watch content on their desktop/laptop, tablet, smartphone and games console.
Another key benefit is that subscribers are able to download Sky content to a device to be watched at a later date when they are not connected to the internet.
Sky Go Extra users can download a programme via their home Wi-Fi, and then potentially watch the content on a bus or train, or out in a remote area where there is no connectivity.
Movies can be held on a mobile device for up to 30 days after the download is complete, however other content can only be kept for seven days.
All subscribers need to do to access Sky TV content is sign in with their Sky iD and password, and then choose the programme they want to watch or record.
Ordinarily, Sky Go Extra is priced at £5 per month, unless consumers pay for Sky Multiscreen, in which case it is available for free - subject to an opt-in requirement.
But under the current offer, customers signing up for Sky Go Extra do not pay anything until the third month of their subscription.
This allows them to save a total of £10 after signing up for the mobile and on-demand TV service.
If consumers wish to cancel their Sky Go Extra subscription, they need to give 31 days' notice to their service provider.
Sky is running the promotion up until Boxing Day - December 26th - meaning UK consumers have plenty of time to take advantage of the offer.