Google's Jade Wang announced in a Google Business Help thread that your Google My Business listings, formerly known as Google Place Listing or Google Local Business listing, can now be automatically verified if your website URL is already part of your verified sites in Google Webmaster Tools.
Good news -- starting today, if you’re verifying a page for your business, you may be instantly verified on Google My Business if you’ve already verified your business’s website with Google Webmaster Tools. The verification will happen automatically, if applicable, when you attempt to verify a page for your business.
If you’d like to try instant verification, please make sure you’re signed in to Google My Business with the same account you used to verify your site with Webmaster Tools
Not all businesses with websites verified using Google Webmaster Tools will have instant verification, since not all business categories are eligible. If that’s the case, please use one of our other methods of verification (https://support.google.com/business/answer/2911778).
You may be instantly verified to manage your business if you’ve already verified your business’s website with Google Webmaster Tools.
Make sure you’re signed in to Google My Business with the same account you used to verify your site with Webmaster Tools. Note that some business categories may not be eligible for instant verification.
This is a nice step to help businesses become verified within Google My Business.
Forum discussion at Google Business Help.