The German's advantage at the top of the standings had meant that it was case of when and not if he would be crowned champion again, but it is still a remarkable achievement.
Below, Sports Mole has picked out some of the reaction to Vettel's success on the social networking site Twitter.
"Making history. We've claimed the 'quadruple double'! To all our fans, thank you for all your support."
"Congratulations to Sebastian Vettel and @redbullracing for their impressive achievements."
"Many congratulations to Seb and @redbullracing for a momentous achievement! Richly deserved. They gave it some #DelhiWelly."
"Very disappointed about the race. I want to congratulate #Vettel with his fourth world championship! Well done my friend."
Caterham driver Giedo van der Garde
Congrats to Sebastian Vettel #Sportlegende— Boris Becker (@TheBorisBecker) October 27, 2013
"Congrats to Sebastian Vettel and Infiniti Red Bull Racing. Another Renault-powered victory secures 2013 #F1 Driver and Constructor titles!"
"Well done to Sebastian #Vettel : A true champion who deserves his 4th title. @RenaultSportF1 delivers once again!"
Renault sporting manager Benoit Dupont
"Congratulations to Sebastian Vettel & @redbullracing for winning the @IndianGPF1 and the Drivers' and Constructors' World Championship! #F1."
The Australian Grand Prix's official account
"Congrats to Vettel & RB, amazing job they've done over the last few seasons."
Former Caterham driver Heikki Kovalainen
Michael Carrick (@carras16) October 27, 2013
"Congratulations to Sebastian for the championship! We will improve for next year ..! Now, max fight for second place and prepare the 2014!!"
Ferrari's Fernando Alonso
"Congratulations to Sebastian #Vettel and @redbullracing."
The Nurburgring's official account
"World Champion again! Congrats to Sebastian Vettel - what a sportsman."
Arsenal and Germany striker Lukas Podolski
"Our sincere congratulations to Sebastian on wining title #4. A true great who does our sport very proud."