apt

Install the GPG key:

wget -qO - https://download.sublimetext.com/sublimehq-pub.gpg | sudo apt-key add -

Select the channel to use:

Stable

echo "deb https://download.sublimetext.com/ apt/stable/" | sudo tee /etc/apt/sources.list.d/sublime-text.list

Dev

echo "deb https://download.sublimetext.com/ apt/dev/" | sudo tee /etc/apt/sources.list.d/sublime-text.list

Update apt sources and install Sublime Text

sudo apt-get update
sudo apt-get install sublime-text