First Install Skype on Mac and Open Skype. After that run a command for run secondary Skype on Mac. Command will be written below.
Secondary Skype on Mac
Open Terminal from Launchpad. You can also use a Shortcut key to Open Terminal easily. Just Press “Command + Space” after that Type Terminal for the opening terminal. Type the code which written below
open -na /Applications/Skype.app --args -DataPath /Users/$(whoami)/Library/Application\ Support/Skype2
Copy the code and paste it your Mac Terminal and hit enter. Second Skype opens and waiting for login new account. We can also use the web version of skype for the second account.