to touch (someone's heart); to move emotionally — used idiomatically for people or events that have a strong emotional impact.
彼女のスピーチは聴衆の胸を打った。
Her speech moved the audience deeply.
その映画のラストシーンには胸を打たれた。
I was deeply moved by the film's final scene.
祖父の話を聞いて胸を打たれ、涙が出た。
I was moved by my grandfather's story and tears came to my eyes.