Instagram has introduced the ability to embed photos or videos from its service to a blog, website or article.

In its dynamic to make its public contents widely accessible, as from today all photos and videos shared through Instagram offer an
embed code on the desktop browser that can be added to a website or page.
This means, henceforth when you visit an Instagram photo or video page on your desktop web browser, you’ll see a new share button on the right side of your photo (just under the comments button). To see the embed code, click the button, copy the block of text it gives you and paste it into your blog, website or article.
Note:  Embed code is only available to those whose photos and videos are public.