A method called as a time-differential-ratio method and its apparatus used for intersection traffic control that differentially operates on the traffic so as to change pass-permit direction with traffic status in time is disclosed. The method includes the steps of starting, timing, vehicle-requesting, extra-moving, ratio-moving, and recycling. Unlike a common control method called as macro-estimate control method that forces changeable traffic to follow a given period and direction turn order to pass, which causes lots of stops and wait, a differential operations on the traffic are integrated with a common ratio control method and walker signals. It shows the operating features and the effective characteristic of both micro-time control and macro ratio control, which lets a vehicle arriving first pass first conditionally, is good for real-time arbitrary traffic pattern control, and leads to great reduction of stops and wait. The apparatus needed for the method includes sensing / detecting apparatuses and processing apparatus.