Here are some options:
From English:
* Regal Peak: "Regal" implies royalty, and "Peak" clearly designates a mountain.
* King's Crest: "King" for royalty, and "Crest" referring to the highest point of a mountain.
* Royal Summit: Similar to "King's Crest," with "Summit" signifying the top of the mountain.
From other languages:
* Mount/Monte/Mont/Berg/Gebirge (various languages) + Rex/Rege/Rey/König (Latin/Italian/Spanish/German for King). For example, "Monte Rex" (Italian for "King Mountain").
* Mount/Monte/Mont/Berg/Gebirge + Regis/Real/Royal (Latin/Spanish/English for Royal). For example, "Mont Regis" (French for "Royal Mountain").
Other combinations:
* Mount/Monte/Mont/Berg/Gebirge + Imperial/Emperor/Empress/Sultan/Shah (various titles of royalty)
* Crown Peak/Summit/Crest/Point/Height (combining royalty and mountain features)
Ultimately, the best name for you will depend on the specific context, your preferred language, and the desired feel of the name.