The track was written by Roberto Morales and Enrique Iglesias, and became Iglesias fourth consecutive chart topper in the U.S. In 1996, "No Llores Por Mí" was performed as a duet with Mexican singer Ana Bárbara for a televised music special aired in Mexico and the United States.
Only two albums achieved four number-one singles in the BillboardHot Latin Tracks before: Amor Prohibido by Selena and Otro Día Más Sin Verte by Jon Secada. This record was broken by Iglesias with his following single "Trapecista". The singer won an ASCAP award for "No Llores Por Mí" in 1996.