It has now become an important issue to evaluate the performance of technical institutions to develop better research and enrich the existing teaching processes. The results of such performance appraisal would serve as a reference point for decisions to choose a particular institution, hire manpower, and provide financial support for the betterment of students and underperforming institutions. The performance of institutions responsible for promotion of technical education in a vast country, like India also needs to be assessed for its journey to share a major role in global economy. In this paper, an integrated approach combining PROMETHEE (Preference Ranking Organization METHod for Enrichment Evaluation) and GAIA (Geometrical Analysis for Interactive Aid) methods is applied for evaluating the performance of 20 National Institutes of Technology (NITs) in India with respect to nine pivotal criteria. It is observed that NIT, Tiruchirappalli and NIT, Warangal are the two best performers based on the last five years data. On the other hand, NIT, Patna takes the last position in the ranking list of 20 NITs suggesting allocation of more resources for its efficient management and subsequent development. Placement of the graduated students from those NITs is found to be the most important criterion.