A torque control apparatus may include an input device, a driving device, a memory, and a controller. For example, the torque control apparatus may be configured to obtain an input related to acceleration of the host vehicle from a user by use of the input device, to determine user requirement torque based on the input, to generate a first requirement torque to be input to the driving device for the acceleration of the host vehicle based on at least part of the user requirement torque, to generate an estimation rate value through the first requirement torque by use of a pitch rate estimation model, and to generate a second requirement torque by use of at least one of the estimation rate value, a requirement rate value, the user requirement torque, or a combination of the estimation rate value, the requirement rate value, and the user requirement torque.