What do you call a place where people practice martial arts?

Answer 1

A martial art school can be called many things, including an academy, gym, or studio. Often times, if the Martial Art is specifically of Asian Martial Art lineage, the term of the native language is used. In Japanese, the term is Dojo, used frequently in many countries around the world for the teaching of Judo, Aikido, Jujutsu, and Japanese Karate-do. In Korea, the term is Dojang, which is the proper term commonly used world wide in Taekwondo, Hapkido, and other Korean Martial Art systems.

Answer 2

a dojo

The room for learning is a dojo, well that's what my sensei called it I don't know if you can call the entire building a dojo or not though.

Answer 3

the judo which literally means fighting the place where you practice Martial Arts is called a dojo which literally means "Place of the Way"