Bertrand, who can perform at either full-back or left wing, was only a year into a four-year deal agreed last summer but has been rewarded for his remarkable progress in recent months.
The 23-year-old became the first man ever to make his Champions League debut in the final itself in May and made his England debut in last month's friendly win over Italy.
He has also started two of Chelsea's three Premier League games this season.
Prior to Roberto Di Matteo's appointment as manager in March, he barely figured for his parent club since making a controversial move from Gillingham seven years ago.
Ashley Cole's arrival as Chelsea's undisputed first-choice left-back saw Bertrand spend much of his early Stamford Bridge career out on loan.
Meanwhile, Malouda has claimed he has been banished from training with the Chelsea first team for what remains of his career at the club.
Winger Malouda took to Twitter to reveal he had been ordered to train with the club's youth team.
He posted a picture of the headquarters of their under-21 squad, along with the message: "This is where I'll train for my last season with the blues !!!"
The 32-year-old, who is in the final year of his contract, has been left out of Chelsea's squad for their Champions League group stage campaign.