Is the himilayan mountain the highest mountain?

No the Himalayan Mountains are a mountain range which means it is numorous mountains connected.. The Highest in the Himalayan Mountains is Mt. Everest. Mt Everest is the HIGHEST mountain in the world today, and is getting a couple centimeters taller each year.

Partially correct. As part of the Himalayan mountain range, Everest (Chomolungma) is the highest peak in the world, but not the highest single mountain as measured from sea level. That honor belongs to our own Mt. McKinley (Denali) in Alaska.