How to remove Black-listed problem from website?

Use Google Webmaster Tool to remove black listed problem from website.

To remove a website from Google's blacklist and subsequently remove the security warnings from web browsers, you will need a verified Google Search Console account. Sign in to your account, and select the "Manual Actions" tab. If Google has detected a security issue with your website, it will list it there.

steps of remove Black-listed problem from website:

Go to the Security Issues Tab. ...
Then select, I have fixed these issues.
Now, click on Request a Review.
Type about the steps taken by you to remove site from google blacklist. ...
Finally, click the Manual Actions section.
In case there are multiple issues.

Easiest way to remove black listed problem from website use Google Webmaster Tool