Twitter General User can Avail Blue Stamp On Their Account Now

Users who think they qualify for a verification tick for having a "great, high-quality account" that is of "public interest" can get verified stamped account now. 

 To get it on your Twitter account profile you  must have these things:

1.      A verified phone number

2.      A verified email address

3.      A brief description

4.      Profile Photos

5.      Header Photo

6.      The registration date

7.      Website

Users will also need to have their account set to "public" in order to be verified, which can be done by going to Settings -> Security and Privacy -> deselecting "Protect my Tweets". 

If you think that everything is okay then fill the following form

https://verification.twitter.com 

Twitter will notify users via email whether their request has been successful. If not, they can reapply within 30 days. 

Read this article too 

https://support.twitter.com/articles/20174631