The problem of unresolved conflicts in organizations has become popular which has crippled the effective performance of organizations overtime. The National Research Institute for Chemical Technology (NARICT) and the Nigerian Institute of Transport Technology (NITT) Zaria which this study was based are not an exception to this development. The above organizations have being passing through various conflicts situation which have been affecting the performance of the organizations in terms of service delivery and the achievement of set objectives. The concept of conflict has no single conception as it has been defined by various management/administrative scholars, apart from seeing the concept as disagreement between or among people; it also involves a struggle over claims to resources, power, status, beliefs, preferences and desires. The study has it as a main objective to examine conflict management and the performance of these organizations (NARICT and NITT). Another objective is to identify the causes of conflict in the organizations and to determine the impacts of conflict on the organizations performance within the scope of study. The study adopts a survey design method in the aspect of generating data relevant to the study. The data collected were sourced through primary and secondary sources and questionnaire, interview and observation were used as instruments for collection of data for the study. The study advances two hypotheses in both the null and alternate form. One of the hypothesis states "that competition for scarce resources is not a cause of conflict in the organizations". Questionnaires were administered to 317 members of staff in NARICT with 292 well filled and retrieved while 102 were distributed in NITT with 98 well filled and retrieved respectively of which analysis were performed by the use of simple percentages and chi-square (χ2) statistical tool of analysis at 5% level of significance in testing the hypotheses. The study showed as one of its major findings that staff accommodation in both organizations are inadequate especially NITT and recommended government to acquire land and award contract to build more staff accommodation for the organizations especially NITT to reduce competition for the few ones available in order to minimize the rate conflict occurs and also to motivate members of staff to give their best towards moving the organizations forward on the part of increased performance.