He met Ms Murphy, whose mother, Sharon, is Ashkenazi-Jewish, through mutual friends. In 2007 they married a Jewish ceremony.
Mr Monjack, 39, had said his “world was destroyed” when his wife died in his arms at December 2009. The actress, who shot to fame in the teen film Clueless, was just 32.
In the aftermath of her death Mr Monjack’s mother told the JC that her son had “lost the love of his life.”
But she said his faith and the guidance of his Los Angeles rabbi had helped him keep together.