Go to skype.com. Then, in the top right corner and click 'Sign In'. On the dropdown menu, click 'Sign Up'.
Sign Up
You will be prompted to create a new account using phone number. Enter your phone number and click 'Next'.
Using Phone Number
Or, you can create a new account using email address. Enter your email and click 'Next'.
Using Email
Create a password and click 'Next'.
Password
Enter your first name and last name then click 'Next'.
Account Name
To verify your email, enter the code that was sent to your email. Then, click 'Next'.
Verify Email
Follow the steps to confirm you are not a robot to create your account. After done, click 'Done'.
Confirmation
Congratulations, you already have skype account. Sign in using your new account and directly use Skype features such as sending messages or making video calls.