Vert.x is distributed in a zip file containing a bunch of JAR files. You can just unzip the zip file and add these JAR files to the classpath of your Java application, and you are good to go. Pretty simple!
Vert.x is not like a clunky Java application server which needs to be installed, have environment variables set up etc. You can just use Vert.x like any other API, from inside your Java code. As long as the JAR files are available on the classpath of your application.
You can download the binary distributions (ZIP files) here: