Bachmann apologised for the anti-refugee comments, which he made online in September, a month before the group staged its first protest.
"I earnestly apologise to all citizens, who felt attacked by my postings," Bachmann said in a statement on the group's Facebook page.
"They were ill-considered comments that I wouldn't make in this way today," he said.
PEGIDA's spokeswoman, Kathrin Oertel said the Hitler picture had been satire, but Bachmann's comments about refugees and others he made about German politicians hadn't "contributed to the trustworthiness" of the group.
Image: Picture of Lutz Bachmann which surfaced on Facebook. Photograph: Courtesy Facebook
Why the world needs non-violence more than ever
15 must-know facts about the Nobel Prize
Shivkar Talpade: First man to fly an aircraft?
Tata-SIA's 2-decade wait at departure lounge ends today
Imran Khan weds TV anchor in a simple ceremony