Little Murders has been nominated for several prestigious awards. Alan Arkin, the director of the play, was nominated for Outstanding Director at the Drama Desk Awards. Linda Lavin, who delivered an exceptional performance, was nominated for Outstanding Performance at the Drama Desk Awards and Best Performance at the Outer Critics Circle Awards. Jules Feiffer, the playwright, was also recognized for his outstanding performance and received a nomination at the Obie Awards. These nominations highlight the talent and excellence displayed in Little Murders.