Before you do this put some thought into why your business need to be on Twitter.
Are you trying to reach a particular audience and grow your brand? Are looking to connect with your clients who are also there? Do you want to provide fast customer service with your clients? If the answer is yes to any of these - let's get started.
To create your business account:
Go to https://twitter.com/
Click on Signup
Choose your country and billing zone
Follow the on-screen instructions.
For tips and tricks on how to make your company page really stand out, follow the Twitter guide to Best Practices: https://business.twitter.com/en/basics/create-a-twitter-business-profile.html