He is an Agent of S.H.I.E.L.D. a global peace keeping force. As their best agent he rose through the ranks becoming the Director worked closely with Agent Coulson. During his time he has allied himself with other heroes such as the Avengers. Overtime he decided to create his own S.H.I.E.L.D. Training Progam, in which he recruited young heroes. Some of the heroes he recruited are Nova, White Tiger, Iron Fist, and Power Man.
The meeting with Spider-Man
Nick Fury confronted Peter Parker about his actions in taking down the Trapster, he questioned him on how Captain America would have done it. He offered him a position on S.H.I.E.L.D., but he declined. Spider-Man came back to him later and was welcomed by Fury to try a test of his abilities.