Grafting acrylic acid (AA) onto linear, low density polyethylene (LLDPE) is carried out in melt state in the presence of styren (St). The effects of reaction time and temperature; concentrations of initiator and St; mixing speed of LLDPE and chemicals on the grafting degree of AA onto LLDPE is estimated. St is added to try to decrease the extent of crosslinking reaction and to increase the grafting degree of AA on to LLDPE. The obtained results show that the suitable conditions for the mentioned process above are 2 wt% of AA; wt% of DCP; molar ratio of St/AA of ; mixing speed of LLDPE and the chemicals of 40 rpm, the reaction temperature at 140o C and the reaction time 6 minutes.