Lampard, whose first goal for the Blues came against Bolton in 2001, last scored in the 2-0 win against Swansea at the end of April.
Some fans spilled onto the pitch to celebrate with the England midfielder after he broke the record.
Lampard said after the game: 'It means everything, it's amazing.
'The support I've had from team-mates, you saw that at the end and I'm thankful to every one of them because they're the ones that put it on a plate for me sometimes.
'And the fans, they've been with me for a long time and were probably frustrated alongside me not getting there so I'm just delighted.'
Lampard added: 'Bobby Tambling is a great man, he's not been well lately but he's a great man.
'I was pleased to level it but I didn't want to overcook that celebration out of respect for him. But to then go and break it, I was delighted.
'I've been here a long time, I lost my mum a few years ago and she was my biggest supporter so it's for her.'
Read more: http://www.dailymail.co.uk/sport/football/article-2322995/Frank-Lampard-scores-203rd-Chelsea-goal-break-Bobby-Tambling-record-Aston-Villa.html#ixzz2SzkNywVe
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