We normally see an author image on some search results in Google. This is because they have integrated Google Authorship on their Blogs, Websites. Google Authorship is help full for your site in various reasons. It improves your higher ranking, drive more traffic and increases click through rate.
Google has simplified the process of showing Authorship in Google search results, for single author the process is very easy.
Implementation Guide of Google Authorship In WordPress:
1.First you need to have a Google account.
2.Create a About page in your site and add Google+ link.
3.On other side in your Google+ profile add your site link as “Contributor to”.
4.Add this code in your blog widget. (Replace xxxxxxxx with your Google profile number.)
>Join us on Google+</
5.Install WordPres SEO By Yoast plugin and go to WordPress dashboard -> Users -> Your Profile, here add your Google+ profile URL.