Active noise control (ANC) has been applied and proven its efficiency for low-frequency vehicle interior road noise. At this frequency range, the response is typically structureborne noise with Gaussian characteristic due to the tire/road interaction. The typical ANC system for vehicle interior noise is implemented applying feedforward control with filteredx least mean square (FXLMS) algorithm. The approach is based on the assumption that the response is deterministic and/or Gaussian type signal. However, when the vehicle is driven over road bumps or potholes, the generated noise response will be non-Gaussian type with impact behavior. Therefore, the conventional time-domain FXLMS algorithm may not be appropriate for controlling this type of impulsive noise. In this study, a simplified planar half-car vibro-acoustic model coupled with flexible ring tire, and rigid wheel and suspension system is proposed to simulate the interior acoustic response caused by the interaction between tire and road with bumps. Then, an ANC system configured with modified FXLMS (MFXLMS) algorithm with thresholds on reference and error signal paths is designed to demonstrate its feasibility for road impact noise control. Numerical simulation results show that the interior road impact noise at the driver ear position can be reduced by several decibels.