The analysis of failures of various equipment in an industry plays a crucial role in order to avoid the breakdown. In this content, Failure Modes & Effect Analysis and Analytic Hierarchy Process approach is used for prioritizing the risk of failure in turbine auxiliaries of Power Plant.The outcome from the FMEA & AHP analysis are compared and found that turbine bearing temperature in the Turbine auxillary is very severe in risk. The results are almost same for both the analysis of AHP & FMEA. Also after focusing on the problems identified in the plant by the professionals, maintenance & replacements of the machinery has been proposed, which will result in improvement in efficiency of the plant. This research serves as a failure prevention guide for those who work on the Power Plant operation.