Before you proceed make sure that you run apt-get update from terminal. Check the necessary repository in sources.list file. For more please read this post.
STEPS:
1. Goto www.skype.com and click on Downloads.
2. Being a Kali Linux user, select Choose your distribution as debian and click Save File to download.
3. Open terminal and locate the downloaded file.
4. Run dkpg -i skype-debian_x.x.x.x_i386.deb (where x is the version of skype) to install the package.
STEPS:
2. Being a Kali Linux user, select Choose your distribution as debian and click Save File to download.
3. Open terminal and locate the downloaded file.
4. Run dkpg -i skype-debian_x.x.x.x_i386.deb (where x is the version of skype) to install the package.
5. Type skype to run the program.
6. Accept License agreement.
