31-year-old Cook, who is representing England in his 134th appearance in whites, surpassed Alec Stewart's 133 Test.
He is now eyeing to overtake Indian cricketing legend Sachin Tendulkar's all-time record of 200 Tests.
Cook, who is the only Englishman to score more than 10,000 Test runs, had in the summers broken Tendulkar's record by becoming the youngest cricketer to aggregate 10,000 runs.
The English opener, who has slammed 29 Test centuries so far, is widely tipped to break Tendulkar's record of 15,921 Test runs.
Talking to reporters on the eve of the first Test, Cook revealed the reason behind England playing some many Tests.
"We play Tests so quickly nowadays so I could (reach 200 matches). The danger is looking at it. Seventy-odd Test matches now seems a long way away and if I am brutally honest the more times you pack your bags to leave your family at home you do question how long you can keep doing it.
"But at this precise moment playing and being captain is something I am very proud of. It doesn't matter whether you are playing your first game or your 130th it is a very proud moment to play for England and you should never ever forget that and I certainly don't," Cook said yesterday (October 19).
Cook has aggregated 10,599 runs in Tests so far and in his 10-year-old career he has missed just one Test, that was way back in 2006 - two weeks after his debut against India.