The band took to the main stage at the music event at around 10pm and kicked off their performance with 'Is This It'.
They then followed the track with 'New York City Cops', which also appears on their debut album Is This It, celebrating its tenth anniversary this year.
After the New Yorkers performed a collection of their classic material including 'The Modern Age' and 'Reptilia' and new songs such as 'Machu Picchu', they introduced a special guest to join them on stage.
Frontman Julian Casablancas explained: "Yabba dabba doo. So man, f**king give it up for Pulp. They're amazing, we respect them - oh look who it is. The Jarv!"
Cocker then joined the garage rock band on stage for a cover of The Cars' 1978 hit 'Just What I Needed'.
The group rounded off their set with fan-favourites 'Last Nite', 'Hard To Explain' and 'Take It Or Leave It'.
Digital Spy is bringing you news from Reading Festival 2011 all weekend. Click here to read our full coverage of the music event.
The Strokes' Reading Festival 2011 setlist was as follows:
'Is This It'
'New York City Cops'
'Under Cover Of Darkness'
'The Modern Age'
'Life Is Simple In The Moonlight'
'You Only Live Once'
'You're So Right'
'What Ever Happened?'
'Just What I Needed'
'Hard To Explain'
'Take It Or Leave It'
Watch The Strokes perform 'Machu Picchu' at Reading 2011 below: