The sports broadcaster is using the deal to promote its motorcycle coverage, having recently added the Bennetts British Superbike Championships to existing live coverage of World Superbikes and MotoGP Championships.
The deal was brokered by British Eurosport's digital agency, Momentum.
The branding, in which Eurosport stakes its "Big on Bikes" claim, will appear on every motorsport article within the site.
The broadcaster is also providing online blogs from Eurosport commentator Jamie Whitham and British Superbike Championship rider Karl Harris.
A two-minute race highlights video from Eurosport's live British Superbikes coverage is also being streamed on the site after each round of the championships.
British Eurosport said it wanted to raise national awareness of its motorcycle racing TV rights, while The Sun wants to build up the range of content on its motorsport section.
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