You'll need to be using the Komodo IDE 6 or later.
In Komodo, click on "Go to Anything", then navigate to "Packages" and search for "MySQL", then install "MySQL Database Explorer" by pressing enter on it or double clicking it. Once installed, MySQL will be one of the available databases to which you can add a connection to. Alternatively, you can install the add-on by downloading/saving the xpi file locally and then opening this xpi file from Komodo's File > Open dialog.
Version 0.3.1: Support Komodo 10.* Version 0.3: Allow hostname to be a file path to local mysql.sock Version 0.2: Use statically linked mysql library.