In the context of the Tridentine Mass of the Catholic Church, a Pontifical High Mass, also called Solemn Pontifical Mass, is a Solemn or High Mass celebrated by a bishop using certain prescribed ceremonies. The term is also used among Anglo-Catholic Anglicans. Although in modern English the word "pontifical" is almost exclusively associated with the Pope, any bishop may be properly called a pontiff. Thus, the celebrant of a Pontifical High Mass may be the pope or any bishop.
In the early Church, Mass was normally celebrated by the bishop, with other clergy. In the Roman Rite this evolved into a form of Solemn High Mass celebrated by a bishop accompanied by a deacon, subdeacon, assistant deacons, thurifer, acolyte(s) and other ministers, under the guidance of a priest acting as Master of Ceremonies. Most often the specific parts assigned to deacon and subdeacon are performed by priests. The parts to be said aloud are all chanted, except that the Prayers at the Foot of the Altar, which before the reform of Pope Pius V were said in the sacristy or during the entrance procession, were said quietly by the bishop with the deacon and the subdeacon, while the choir sang the Introit.
The full Pontifical High Mass is carried out when the bishop celebrates the Mass at the throne (or cathedra) in his own cathedral church, or with permission at the throne in another diocese.
A Low Mass celebrated by a bishop is almost identical with one celebrated by a priest, except that the bishop puts on the maniple only after the Prayers at the Foot of the Altar, uses the greeting "Peace be with you" rather than the priest or deacon's "The Lord be with you", and makes the sign of the cross three times at the final blessing, which may be preceded by a formula that begins with "Sit nomen Domini benedictum" (Blessed be the name of the Lord).
In contrast to celebration by a priest, a bishop celebrates almost the entire first half of the Solemn High Mass until the offertory at the cathedra, often referred to as his throne, to the left of the altar. Instead of saying Dominus vobiscum "The Lord be with you" as the opening liturgical greeting, a bishop says Pax vobis "Peace to you".
A bishop also wears vestments additional to those of a priest:
When the bishop sits at the cathedra, a special silk cloth, called a gremiale, of the same liturgical colour as the bishop's vestments is placed in his lap.
Main article: Papal Mass
The Pope's Pontifical High Mass, when celebrated with full solemnity, was even more elaborate. As is still done in papal Masses on occasions such as the inauguration of a pontificate, the Gospel and Epistle were sung not only in Latin by a Latin-Rite deacon and subdeacon, but also in Greek by Eastern clergy, wearing the vestments of their own rite and observing its customs, such as placing the deacon's stole on the Gospel Book and bowing rather than genuflecting. This custom stresses the unity of the universal Catholic Church, formed by both the Eastern and the Western (Latin Church) Churches in full communion.
At the elevations of host and chalice, the Silveri symphony was played on the trumpets of the no longer existing Noble Guard. Through a misunderstanding of the name Silveri, English speakers sometimes referred to this as the sounding of silver trumpets. An asterisk – a common eucharistic implement in the Eastern Rites, in which it is shaped differently from the twelve-ray asterisk that was used in Papal Masses – was used to cover the host on the paten, when it was brought to the Pope at his throne for communion. The Pope drank the Precious Blood, the wine having been consecrated, through a golden tube. Even for the laity, the use of a tube  is one of the four ways envisaged in the 1970 revision of the Roman Missal for receiving Communion from the chalice, cf. also General Instruction of the Roman Missal, 248–250. It was also customary for some of the bread and wine used at the Mass to be consumed by the sacristan and the cup-bearer in the presence of the Pope at the offertory and again before the Our Father (Pater noster) in a short ceremony called the praegustatio as a precaution against poison or invalid matter.
In the Anglo-Catholic tradition of Anglicanism, the term Pontifical High Mass may refer to a Mass celebrated with the traditional Tridentine ceremonies described above. Liturgical manuals such as Ritual Notes provide a framework for incorporating Tridentine ceremonial into the services of the Book of Common Prayer. More generally, the term may refer to any High Mass celebrated by a bishop, usually in the presence of his or her throne. The Pontifical High Mass is one of four full-form pontifical functions, the other three being pontifical Evensong, High Mass in the presence of a greater prelate, and Solemn Evensong in the presence of a greater prelate. In its more traditional form, the ministers required at the service are a deacon and subdeacon of the Mass, assistant deacons in dalmatics, and an assistant priest in cope and surplice, who acts as the episcopal chaplain, along with the usual servers.