There is no gainsaying that curriculum evaluation as a process involves much more than the concept of evaluation. It is a maintenance process in that it helps to envisage the future of curriculum development. It provides future basic data that serves as a control signal to the overall process of curriculum development and implementation. The need for curriculum evaluation is therefore to make data available for continuous feedback and decision making. In this paper, effort was geared towards taking a critical analysis of the problems that has bedeviled teacher and tertiary education curriculum evaluation in Nigeria. It was therefore recommended that all academic staff of tertiary institutions be adequately trained to meet up with the challenges of the 21st century globalized world, adequate funding of tertiary institutions and proper regulation of programmes by Nigerian University Commission (NUC) and National Commission for Colleges of Education (NCE).