The PSNI said it is examining the open letter, signed by more than 100 people, which was published by Alliance for Choice.
The signatories provided their name and location for the document – which lists people who have taken the abortion pill or helped women here to procure it.
The 1861 Offences against the Person Act, which carries a life sentence, makes it illegal to procure drugs to cause an abortion.
Abortion is currently illegal in Northern Ireland unless a woman’s life is at risk or there is a risk of permanent and serious damage to her health.
A PSNI spokeswoman on Sunday confirmed that police are “assessing” the contents of the letter.