The present research has used Graph Theory Matrix and Approach (GTMA) to evaluate Health Care Waste Management(HCWM) index. This index will be an indication of the degree of effectiveness of HCWM practices in the HCU’s. Responses collected through a questionnaire based survey was used to develop a GTMA model to evaluate Waste management Index(WMI). A frame work also has been proposed to calculate theoretical best and worst value of WMI. The WMI of any HCU could be compared with theoretical best and worst values of WMI to check its closeness to these values. If the WMI value of any organization is closer to best value in comparison to the worst value then it could be inferred that the HCU is doing good in managing its waste. The WMI value would help HCUs in identifying the weaker areas of HCWM practices of their organization.