The musician was planning to visit the U.K. next month to promote his second autobiography "Then It Fell Apart", but all engagements have been cancelled.
The hitmaker has also told fans on Instagram he's "going to go away for a while".
A message on his website reads: "Moby is cancelling all upcoming public appearances for the foreseeable future. We apologise for any inconvenience this may cause," while he adds, "I want to apologize again, and to say clearly that all of this has been my own fault."
"I am the one who released the book without showing it to the people I wrote about. I'm the one who posted defensively and arrogantly. I'm the one who behaved inconsiderately and disrespectfully... There is obviously no one else to blame but me. Thank you and I'm sorry."
Portman disputed his claims they briefly dated after the memoir was published earlier this month. Instead, she told Harper's Bazaar, "My recollection is a much older man being creepy with me when I just had graduated high school."
The Oscar winner added, "That he used this story to sell his book was very disturbing to me."
Moby quickly apologised to Portman on Instagram, adding that it was "truly inconsiderate" of him not to have informed her and others about their inclusion in his memoir.