In Hindi native means "मूल ". मूल का मतलब "जड़ "( root ) भी है ।हिंदी में इसका translation "मूल भाषी " हो सकता है किंतु हम इस शब्द का प्रयोग कम करते हैं ।

He is a native speaker of English. yah angreji (bhasha) ka mool nivasi wakta hai. yah angreji (bhasha) ka deshi wakta hai.

अच्छा सवाल है, हम ऐसा बोलते हैं - अंग्रेजी उसकी मातृभाषा है. सहज रूप से/साधारणतया ऐसा ही कहा सुना जाता है. in informal commmunication, we may ask, what is language of your family? or which region do you belong to? or what language do you speak?. In daily life ( for Indians) I haven't ever asked anyone or heard anyone directly asking me what is you "native" language.

I can't see the other characters on my screen but if you are asking if "He is a native speaker of English." is correct, then it is. You can also say, "He is a native English speaker."