Burch is leaving his post and also stepping down from the Virgin Media board with immediate effect and will now return to the US to be with his family.
Since joining the group in 2006, Burch has overseen he acquisition of Virgin Mobile and mergers with NTL and Telewest.
Virgin Media chairman Jim Mooney paid tribute to Burch, he said: Steve has contributed significantly to the transformation of Virgin Media. Since he joined us, the company has emerged as the UKs only quad play provider and a genuinely distinctive presence in the world of communications and entertainment.
On behalf of Virgin Medias Board of Directors, I thank him for his contribution to our development and wish him every success for the future.
A search for Burchs successor will begin shortly but in the meantime Virgin Media COO Neil Berkett has been appointed as acting CEO.