The two played out eight hard-fought matches, with each player winning two matches and with four drawn.
Kramnik said he felt "totally exhausted"
Even though Kramnik is world champion it is very impressive that he has managed to get a draw because Deep Fritz can study 3.5m different in moves in a single second.
The draw is worth £518,000 to Kramnik while the people who created the Deep Fritz programme will get loads of publicity from the contest.
Mind you, here at CBBC Newsround Online we reckon Ron Weasley would beat them both!
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