The question of how to teach English grammar in the school system has been a subject of study for English scholars. Several years ago there was the suggestion that to instruct English grammar in the Korean EFL situation was useless, but it is not possible to speak without English grammar. Fluency is very important in speaking English, yet fluency with correctness is better. In the traditional way, teachers have taught English grammar explicitly to make students learn grammar, but students do not apply grammar in discourse situations. Nowadays, instead of teaching English grammar explicitly, teaching English grammar unconsciously and implicitly or accidentally and intercommunicatively is focused on more in education mixed with English speaking education. This implicit and unconscious English grammar instruction is more effective in innated students grammar teaching and lasts long in the memory. I will introduce traditional grammar teaching methods and teaching grammar implicitly in the present English curriculum and in English speaking education, and explain how to apply it in the school system.