A process for producing an organometallic copolymer composed of a polycarbosilane portion and a polymetallosiloxane portion crosslinked with each other, which comprises reacting (1) a polycarbosilane having a main chain skeleton composed mainly of carbosilane units of the formula --Si--CH.sub.2 --, with (2) a polymetallosiloxane having a main chain skeleton composed of metalloxane units of the formula --M--O-- wherein M represents Ti or Zr and siloxane units of the formula --Si--O--, in an organic solvent in an inert atmosphere thereby to bond at least some of the silicon atoms of said polycarbosilane to at least some of the metal atoms M and/or silicon atoms of said polymetallosiloxane through an oxygen atom; and the organometallic copolymer obtained by the aforesaid process.