Rodriguez will officially join LucasArts in mid-April.
Rodriguez, who LucasArts describes as an 'avid gamer' has previously contributed work to EA franchises such as Medal of Honor, The Lord of the Rings: Battle for Middle-Earth, SSX and Command & Conquer.
Lucasfilm president Micheline Chau said: Having worked at both Electronic Arts and Disney Imagineering he brings the perfect blend of production, operational, and creative expertise. For a games company such as LucasArts with its roots in film, this is an electric combination."
Rodriguez will take over from interim president Howard Roffman – more permanently president of Lucas Licensing – who stepped in after LucasArts boss Jim Ward left the firm last month citing personal reasons.
Ward had been with LucasArts parent Lucasfilm for nine years, and had held the position of LucasArts president since 2004.