Jurors in the trial of Lindsay Clancy are deadlocked after three days of deliberations, but a judge has asked them to keep trying.

Clancy, a resident of Massachusetts, is facing murder charges for killing her three children at their family home in 2023.

Her lawyer does not dispute that the 36-year-old former nurse killed the children, but argues that she was suffering from postpartum psychosis at the time and was unable to distinguish right from wrong.

The Massachusetts mother is charged with three counts of first-degree murder, as the prosecution argues she made a calculated, intentional decision to kill them.

The jury, made up of nine women and three men, began deliberating last week after hearing weeks of testimony from dozens of witnesses.

On Tuesday, audible gasps could be heard in the courtroom as Judge William Sullivan read out a note from the jury indicating that it was deadlocked.

Clancy, who was left paralysed after jumping from a second-floor window shortly after the killings, appeared stoic as she sat in a wheelchair beside her lawyer.