The invention provides a vibration reduction algorithm for a vehicle having no torque converter and a system for executing the vibration reduction algorithm. The vibration reduction algorithm for a vehicle having no torque converter includes: optimized feedforward logic on a computer and executed by the computer, wherein a request torque is divided into two or more different types of torques depending on a driving state of the vehicle. One of the two torques is provided two times with a time difference therebetween to reduce vibration of a driving system of the vehicle, and is identified as the request torque. Then the identified request torque is outputted as a motor command torque of the driving system. Furthermore, heuristic logic which is installed on the computer and executed by the computer and in which feedback information from the driving system is processed through heuristic calibration, added to the motor command torque of the optimized feedforward logic, and then provided as a motor command torque of the driving system.