There are three buses to this campus:
The urban buses webpage shows the route and stops of each bus around the city
A --- Moncloa - Campus de Somosaguas
(This bus line connects the city of Madrid with the campus. Moncloa is one of the main metro and bus stations of the city. It has several metro lines and urban buses. It also connects the north towns and suburban with interurban buses)
H --- Aluche - Campus de Somosaguas
(Aluche is a suburb. The bus goes next to several metro stations: Colonia Jardin, Campamento and Aluche)
I --- Ciudad Universitaria - Campus de Somosaguas
(This bus line connects the two Complutense campuses. The bus last stop is next to Ciudad Universitaria metro station)
There is also metro ligero (light rail) to this campus. Check the webpage for information.
METRO LIGERO LINE 2 --- Colonia Jardín - Estación de Aravaca
(This line stops by the campus. The station is called Campus de Somosaguas. This light rail connects with the regular metro in Colonia Jardin)