Kardashian is an Armenian surname. "Kardash" means 'stone' ("kar") + 'carver' ("dashogh" - "dash") in Armenian and patronymic

Patronymic

A patronym, or patronymic, is a component of a personal name based on the name of one's father, grandfather or an even earlier male ancestor. A component of a name based on the name of one's mother or a female ancestor is a matronymic. Each is a means of conveying lineage.In many areas patronyms...

 suffix (ending) "-ian".

The most notable people with the surname Kardashian come from one family:

First generation:

• Robert Kardashian
  Robert Kardashian
  Robert George Kardashian was an American attorney and businessman. He gained national recognition as O. J. Simpson's friend and defense attorney during the latter's 1995 murder trial...
  
   (1944-2003), lawyer who represented O. J. Simpson.
• Kris Jenner
  Kris Jenner
  Kristen Mary "Kris" Jenner is an American television personality, socialite and businesswoman. She also is the manager for all of her family members, including Kim Kardashian, Kourtney Kardashian and Khloé Kardashian...
  
   (formerly Kris Kardashian née Houghton), American television personality who was married to Robert Kardashian from 1978 to 1990.

Second generation (all children of Robert and Kris); all of whom are American television personalities:

• Kourtney Kardashian
  Kourtney Kardashian
  Kourtney Mary Kardashian is an American businesswoman, socialite, model, actress and reality television personality who gained fame as a cast member of Keeping Up with the Kardashians, Kourtney and Kim Take New York, and Kourtney and Khloé Take Miami.She is the oldest child of Kris Jenner and...
  
  , businesswoman and model
• Kim Kardashian
  Kim Kardashian
  Kimberly Noel "Kim" Kardashian is an American socialite, television personality, model, actress and businesswoman. She is known for the E! reality series that she shares with her family—Keeping Up with the Kardashians, and its spin-offs including Kourtney and Kim Take New York...
  
  , socialite and model
• Khloé Kardashian Odom
  Khloe Kardashian
  Khloé Kardashian Odom is an American businesswoman, television personality, radio host, socialite, and model...
  
  , businesswoman and socialite
• Rob Kardashian
  Rob Kardashian
  Robert Arthur "Rob" Kardashian is an American television personality. He is best known for appearing on his family's reality television shows, such as Keeping Up with the Kardashians and Khloé & Lamar. Kardashian competed and placed second on the thirteenth season of Dancing with the Stars...
  
  , model and talent manager

Third generation:

• Mason Dash Disick, son of Kourtney Kardashian
  Kourtney Kardashian
  Kourtney Mary Kardashian is an American businesswoman, socialite, model, actress and reality television personality who gained fame as a cast member of Keeping Up with the Kardashians, Kourtney and Kim Take New York, and Kourtney and Khloé Take Miami.She is the oldest child of Kris Jenner and...
  
   and Scott Disick.