Google has been verifying businesses/individuals by selecting themselves and contacting them.
But now it has added an option for businesses, organization and inviduals to request for verification of their Google+ pages. This is not available for local business pages now but will be available soon.
If you have an existing relationship with Google, you can contact your Google representative to request verification for your Google+ page created.
For those who do not have an existing relationship with Google, the request form is available at their site - Google+ page verification request
Here are the requirements by Google to be eligible for verification:
Though, verification is not guaranteed even if you meet these requirements.
All the details for Page Verification Request are explained with the request form.
To have your verification request submitted, you
Read more on this from Google Help.
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