According to Osho, fear dissolves when you stop chasing happiness and fleeing suffering and instead become a silent witness to both. Happiness and misery are excitations; they shake you only when you identify with them. Awareness of this very condition is the beginning. Root yourself in meditative watchfulness, neither hoping nor resisting, and a calm center appears. From that centeredness, anxieties untangle and fear loses its grip.
Just watch your feelings without running toward pleasure or away from pain, and fear will fade.