ʌŋɡˈɑːɹ wʌzðɪ ˈoʊnli sˈʌn bˈɔːɹn tə hɪz fˈɑːðɚ, ɹˈæbaɪ jˈoʊsəf mˈoʊʃ ʌŋɡˈɑːɹ wˈʌn θˈaʊzənd ˈeɪthˈʌndɹɪd fˈɪfti fˈaɪv wˈʌn θˈaʊzənd ˈeɪthˈʌndɹɪd nˈaɪnti sˈɛvən, ðə ɹˈæbaɪ ʌvðə tˈaʊn ʌv pˌɜːstɪˈeɪn tədˈeɪ: pˈiːʃtəni.
Ungar was the only son born to his father, Rabbi Yosef Moshe Ungar (1855–1897), the rabbi of the town of Pöstyén (today: Piešťany).