Implementing curriculum goals at tertiary institutions is a complex and challenging task. However, by understanding the challenges and complexities involved one can proffer solution to it. Therefore the paper examined the word curriculum, curriculum goals, characterisitics of good curriculum in achieving its goals, which were discussed of a good curriculum, prerequisite for effective curriculum goals, university and its curriculum goals, colleges/institute of education and their curriculum goals, science and technology educational institutions and their curriculum goals. The paper discuses constructive curriculum to attain it curriculum goals, the principles of curriculum goals construction, curriculum implementation were also discussed, the needs for curriculum goals, its implementation for Nigerian Tertiary Institutions, complexity of curriculum goals implementation, challenges of curriculum goals implementation at tertiary institutions and solutions/recommendations of curriculum goals implementation to were proffered like, developing strategies to overcome these obstacles and ensure that their graduate are equipped with the knowledge, skills and attitudes required to succeed in an increasingly complex and rapidly changing world.