Blue Tiger Eye History, Meaning, Properties, Benefits & How To Use Blue tiger eye gemstone, which is also called Falcon’s Eye or Hawk’s Eye, is a unique and captivating gemstone that is known for its charming appearance and healing properties. Blue tiger eye is a quartz mineral and it comes under the category of semi-precious stones. This crystal is related to tiger eye stone, and you can distinguish the blue tiger eye by its distinctive blue-green to blue-gray coloration and its ability to exhibit chatoyancy.