"On the advice of his specialist, and with a broken heart, Brian has therefore been compelled to withdraw from the production of which he is so proud."
The statement went on to say that the actor, 78, is "immensely grateful" for the support The Guildford Shakespeare company has given him.
Blessed will be making no further comment at this time, his agent added.
When the actor collapsed on stage last week, he bravely continued the show after a 20-minute break.
He told the audience in Guildford: "I feel such an idiot and am not in the habit of doing this, but I have a little fibrillation." He then asked if a doctor was in the house.
Fortunately, a surgeon at Holy Trinity Church in Guildford assisted Blessed in front of theatre-goers, including his daughter Rosalind, before he was clapped off stage, Mail Online reported.
Blessed successfully completed the play, patting his heart and giving a thumbs up before leaving at the end.
-Independent