Kouhei Inuzuka has been taking care of his young daughter Tsumugi since his wife passed away. Despite being a teacher with a busy schedule and limited culinary skills, he relies on convenience store meals to feed his daughter. Feeling inadequate as a father, Kouhei accepts an invitation from one of his students, Kotori Iida, to have dinner at her family's restaurant. However, the restaurant is often closed due to Kotori's mother being away for work, and Kotori frequently eats alone. Despite this, Kouhei continues to visit the restaurant with Tsumugi to cook and share homemade meals with Kotori. Amaama to Inazuma tells the story of a father who is doing his best to make his daughter happy while exploring the values behind cooking, family, and the importance of warm meals at home that are often taken for granted.