While Roma won 2-0 away at Chievo, Inter secured their victory thanks to Diego Milito's second-half goal.
Robben forced a one-handed save from Cesar before Milito gave Inter a two-goal cushion with more superb finishing.
CNN: Milito double as Inter Milan crowned champions of Europe
Inter got off to the perfect start when Diego Milito cut inside and fired in with only three minutes gone.
Brazilian goalkeeper Julio Cesar hoisted a long kick forward and Milito held off Martin Demichelis to work it back to Wesley Sneijder.
CNN: Milito double as Inter Milan crowned champions of Europe
Zanetti's Argentine compatriot Diego Milito finished coolly with the outside of his boot on 57 minutes after great work from his captain.
He fielded a three-strong attack of Mario Balotelli, Goran Pandev and Diego Milito, but they drew blank against a determined visiting side.
CNN: Inter held by Genoa in San Siro but stay four points clear
In other action, Inter Milan maintained new coach Andrea Stramaccioni's unbeaten start with a 2-1 win over Siena with Diego Milito scoring twice.
CNN: Dortmund sink Bayern in Bundesliga top of the table clash
Striker Diego Milito gave the home side the perfect start, taking advantage of some poor defending from John Terry and firing in after only three minutes.
BBC: Inter's Jose Mourinho confident of knocking out Chelsea
But Jose Mourinho's men may yet rue not having added to Diego Milito's well-placed strike from the edge of the CSKA area at the San Siro.
But Diego Forlan pulled one back after 71 minutes -- incredibly Inter's first in 541 minutes -- before the Uruguayan set up Diego Milito for the equalizer.
The home side had a number of chances to score before Milito struck five minutes time after he was brought down by Gianluca Comotto to earn the spot kick.
Sneijder exploited gaps on the Chelsea defense and from his pass the best chance fell to Argentine Diego Milito but he scuffed his shot wide of Turnbull and the goal.
CNN: Eto'o goal sinks Chelsea as Mourinho returns in triumph
Growing in confidence, Inter should have been two up before the break as Milito turned provider to set up Sneijder, who shot straight at Butt with the goal at his mercy.
CNN: Milito double as Inter Milan crowned champions of Europe
Four-time defending champions Inter took a 15th minute lead through top scorer Diego Milito, as the Argentine star eluded the attentions of several defenders to net his 10th of the season.
According to Spanish newspaper Sport, City's bid for Maicon could be rivalled by Real Madrid, whose new boss Jose Mourinho is also chasing Manchester United's Wayne Rooney and Inter Milan's Diego Milito.
In the space of two minutes after the hour, both Samuel Eto'o and Pandev tested Akinfeev before Milito struck with a superbly driven low-shot from 18 yards into the corner of the goal.
But Inter powered forward, winning their own penalty converted by Milito to secure his hat trick, before Maicon scored a stunning fourth and sealed Juventus' return to where many believe they have always belonged.
Milito, 26, is a highly regarded Argentine player.
BBC: SPORT | Football | Europe | Juve 'to bypass Premier players'
Barca coach Pep Guardiola is missing suspended captain Carles Puyol and fellow defender Gerard Pique, while Dmytro Chygrynskiy is cup-tied, so Mexico international Rafael Marquez and Argentina's Gabriel Milito should feature in the back four.
The 26-year-old, who resurrected his career last season after moving from Barcelona, has finalized a deal that was agreed earlier in the summer and also saw Argentine striker Diego Milito move to the San Siro on Tuesday.
What followed was one of the most memorable Milan derbies in recent years, as Inter ran out 4-2 winners with Diego Milito scoring a hat trick, the first person do so in this fixture in almost six decades.
Two clinical finishes from Milito in the 35th and 70th minutes settled an enthralling showdown in the Santiago Bernabeu stadium in Madrid and left Mourinho as only the third coach to win Europe's top club competition with two teams.
CNN: Milito double as Inter Milan crowned champions of Europe
Goran Pandev's 22nd-minute strike from long range failed to dip quickly enough to prevent it going over while Wesley Sneijder could only shoot harmlessly wide in the final minute of the half after a neat one-two with fellow attacker Milito.
With the ball won just inside the Chelsea half, firstly Thiago Motta and then Samuel Eto'o fed the ball through for Milito who, with space afforded by Wesley Sneijder's presence, stepped inside John Terry and beat Petr Cech at the near post.
Ancelotti responded by sending on Joe Cole just after the hour, but this was only the signal for Inter to create, and waste, their best chance as Milito snatched at his effort with only Turnbull to beat, much to Stamford Bridge's relief.
Samuel Eto'o was proving to be Inter's best outlet down the flanks but the Italian side struggled to break down the resolute German defence and with the Cameroon striker turning provider, they lacked a presence in the middle where Diego Milito was anonymous.
应用推荐