Brand had planned to take his Messiah Complex tour to Abu Dhabi and Lebanon.
Brand has said the tour focuses on icons including Che Guevara, Gandhi, Malcolm X and Jesus, and examines "the importance of heroes in this age of atheistic disposability."
But Brand told BBC radio on Thursday that the Mideast venues "contacted us to say we can no longer guarantee your safety."
Brand said he thought organisers were wary of the sensitive topic and the poster, which "does depict me looking a little bit Christ-like" and wearing corporate and religious insignia.
The tour starts on 12 June in Chicago and ends in Reykjavik, Iceland, on 9 December.