Islamic State is a proscribed terrorist organisation in the UK.
The magazines were being sold in paperback form on Amazon sites in the UK, US, France, Germany, Italy and Spain. It can be downloaded for free elsewhere.
Amazon's statement to the BBC read: "This product is no longer available for sale." The company did not give any further details.
Dabiq is described on Amazon as "a periodical magazine focusing on issues of tawhid (unity), manhaj (truth-seeking), hijrah (migration), jihad (holy war), and jama'ah (community)".
Amazon's websites list the publisher of the magazines as "CreateSpace Independent Publishing Platform", which is an Amazon-owned self-publishing company.
Self-published by Amazon! Lolol. Cuckoo! Cuckoo! It's a mad, mad, mad, mad, world.