The authors brought forward a definition of the meeting in the marine traffic flow. According to their definition, the encounter, one situation of the meeting, is a situation that the course of a certain ship is the value between plus 135 degrees and plus 225 degrees from the course of the reference ship, the crossing, another situation of the meeting, is a situation that the course of a certain ship is the value between plus 45 degrees and 135 degrees or between plus 225 degrees and 315 degrees from the course of the reference ship, and the overtaking, the other situation of the meeting, is a situation that the course of a certain ship is the value between plus 315 degrees and plus 45 degrees from the course of the reference ship and the speed of the reference ship is greater than that of a certain ship. They obtained the number of the meeting from the simulation of the middle of Tokyo Bay. Farthermore, they proposed the definition of the randomness and obtained the values.