The researcher who have examined education leadership agree that effective principals are responsible for establishing a school wide vision of commitment to high standards and the success of all pupils, also the study highlighted that the school principal has the final decision to include the teachers in the decision-making considering teacher competence and the school achievement goals. The results of the study disclosed the optimal factors of instructional management of school principal in implementing new normal learning modality related to teacher’s competence and school achievement goals were considered the indicators such as: instructional leadership skills framing the school goals, supervising & evaluating instruction, coordinating the curriculum, monitoring students’ academic performance, protecting instructional time, and providing incentives for teachers and for learning, for the extent of teacher’s competence in terms of performance of teachers, instructional competence, instructional design, assessment strategy, and job commitment while for the extent of school achievement goals in terms of teacher participation standard, personnel satisfaction standards, succession planning, and new normal modalities implementation. However, this study is relative to society’s current situation because teacher competence and school achievement goals in academe more demanding and important to look forwards now a day also provides teachers and all school stakeholders’ opportunities to practice and further develop what they have learned in school. Furthermore, this study will give an idea to the higher positions to understand the situation of the determining instructional management of school principals in implementing new normal learning modality related to teachers competence and school achievement goals, considered other factors of academic involvement conveys to all school stakeholders that teacher are interested and invested in their development for school achievement goal. This will guide the school administrators in evaluating what improvement can be introduced to enhance the present managerial practices teachers’ competence. And school achievement goals amidst new normal learning modalities; provide school principals with reliable bases for improving their supervisory services especially in the prevalent change modes of the teaching-learning process and the learning environment. Also will help to implement relevant policies and sharpen the system and activity plan of the private-school will make them aware and which will encourage them to exert extra effort and devote quality time in improving self-competency to provide them with opportunities to acquire the knowledge, values, attitudes, commitment, and skills needed that would be used for any modalities amidst any pandemic.