nonreligious wedding ceremony; civil wedding ceremony
A wedding ceremony held without religious elements, often in a secular venue. The term is commonly used in contrast to religious ceremonies like church weddings or Shinto-style weddings.
See also: 人前結婚式
Recently, more couples are choosing a civil ceremony instead of a church wedding.
In a nonreligious ceremony, the couple pledges their marriage to the attendees, not to a deity.