Catholic Order Rites are Latin liturgical rites, distinct from the Roman Rite, specific to a number of Catholic religious orders.
For religious orders in Eastern Catholic Churches, Eastern liturgy is typically applied.
Two mendicant orders (Carmelites and Dominicans) kept their own rites until the second half of the 20th century. Other religious orders had and still have their own customs and privileges, and their own calendar of liturgical feasts, as does every nation and indeed every diocese. Among the Benedictines, this holds also for each congregation (i.e. branch) of the order. But the rite that they use for Mass is the Roman Rite, not a liturgical rite of their own.
The early-twentieth-century Catholic Encyclopedia, in its article entitled Rites, applied the term "rite" loosely to some practices that certain religious orders followed at that time, while stating that they in fact used the Roman Rite.
What follows is a transcription of that text, leaving unaltered its no longer true statements and its spelling (e.g. "connexion").
The Franciscans, unlike the Dominicans, Carmelites and other orders, have never had a peculiar rite properly so called, but conformably to the mind of St. Francis of Assisi always followed the Roman Rite for the celebration of Mass. However, the Friars Minor and the Capuchins wear the amice, instead of the biretta, over the head, and are accustomed to say Mass with their feet uncovered, save only by sandals. They also enjoy certain privileges in regard to the time and place of celebrating Mass, and the Missale Romano-Seraphicum contains many proper Masses not found in the Roman Missal. These are mostly feasts of Franciscan saints and blessed, which are not celebrated throughout the Church, or other feasts having a peculiar connexion with the order, e.g. the Feast of the Mysteries of the Way of the Cross (Friday before Septuagesima), and that of the Seven Joys of the Blessed Virgin (First Sunday after the octave of the Assumption). The same is true in regard to the Breviarium Romano-Seraphicum and Martyrologium Romano-Seraphicum.