Yes. On May 8, 1963, in the instruction of Piam et Constantem issued by the Holy Office, now known as the Congregation for the Doctrine of the Faith, cremation became permitted. The practice of cremation was also incorporated into the Order of Christian Funerals in 1997.
The Church clearly prefers that the body of the deceased be present for the funeral Mass and that cremation follow the Mass before the Celebration of the Rite of Committal. The presence of the human body better expresses the value which the Church affirms in her rites. However, in certain circumstances, when this is not possible, it is appropriate for the cremains to be present for the full liturgical Funeral Rites.
No. The Church requires that for final deposition, the cremated remains of our loved ones should be treated with the same respect as the human body. Cremated remains should be entombed in a mausoleum, columbarium or buried in a grave in a cemetery. Whenever possible, appropriate means for memorializing the deceased should be utilized, such as a plaque or stone that records the name of the deceased.
Cremations must be arranged through your family's funeral director.