Yes, fear of the Lord is one of the gifts of the Spirit. It is, according to many Old Testament authors, “the beginning of wisdom.”
And Cor Ignis is right about true “fear of the Lord”
not being what others have called “craven fear,” the terror we might feel about some harm that may befall us (e.g. being attacked by a tiger, being tortured by a tyrant).
As St. Paul wrote, “God gave us a spirit
not of fear but of power and love and self-control,” and St. John taught, “There is
no fear in love, but
perfect love casts out fear. For fear has to do with punishment, and whoever fears has not been perfected in love.”
St. Anthony the Great is often depicted with one of his most famous sayings, based on John’s epistle above: “I no longer fear God, but I love Him.”
http://orthodoxwiki.org/images/d/d9/Anthony_the_Great.jpg
So clearly a distinction must be made between that fear which is craven and that fear which is a gift of the Spirit and the beginning of wisdom.
In addition to what Cor Ignis has said, I would say that true fear of the Lord is primarily
awe and wonder that inspires love and longing for God.
You may also enjoy
this passage written by St. Hilary of Poitiers.