LOS ANGELES — A pastor who was defrocked by the United Methodist Church in Pennsylvania because of his support for same-sex marriage has been offered another position by a Methodist bishop in California, a sign of the deep split within the church over acceptance of gay men and lesbians.

The pastor, the Rev. Frank Schaefer, who led a congregation in Lebanon, Pa., was stripped of his clerical credentials last week. Since then, Bishop Minerva G. Carcaño has invited him to minister in the California-Pacific Annual Conference, the church region that includes Southern California and Hawaii.

Mr. Schaefer said Monday that he was “very seriously considering” the offer.

A complaint was filed against Mr. Schaefer within the church this year because he officiated at his son’s 2007 wedding to another man. His trial in November highlighted the increasingly loud objections within the ndenomination to its opposition to same-sex marriage and the ordination of gay people.”