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This is a feature when the site uses an EV SSL Certificate (Extended Validation SSL), which, in addition to displaying a green padlock, also displays in green the name of the company or organization of the website.
Advanced EV (Extended Validation) validation technology enables browsers from Internet Explorer 7, Firefox 3, Google Chrome, Opera and KDE display the address bar in green with your company name, allowing users to identify your site as safe, authentic and not cloned. Source
To get the certificate on your website, you need to buy it from some company specializing in digital security and hosting services and do the installation on your hosting.
Just to mention a few companies that provide the certificate:
How it is displayed in some popular and modern browsers:
SSL certificate.
– Jéf Bueno
This is that the company itself issued the security certificate as the connection is via HTTPS, probably in the "field" "
Certificate
" details/data are displayed for this name to appear, it is not a mandatory and I also believe that it does not imply to improve confidence in the site at the level of security. Also not every browser will show this, only some do it.– Guilherme Nascimento