The judge offered Yoselyn Ortega, 53, 15 years to life for each murder which would run consecutively.
The District Attorney's recommendation is life without parole.
Ortega is accused of murdering 6-year-old Lucia and 2-year-old Leo Krim inside their apartment back in 2012.
The children's mother, Marina Krim, was picking up her other child, Nessie, from a swimming lesson when she returned to find Lucia, affectionately called Lulu, and Leo dead in the bathtub.
Ortega also reportedly tried to stab herself, but survived her self-inflicted injuries.
Ortega is due back in court on May 5th.
Marina and Kevin Krim welcomed a baby boy named Felix two years ago and recently had another baby boy named Linus in January of this year.