The victims - recognized exclusively by their first names, Kenza and Amel - advised French media they have been attacked by two different ladies after asking the women to manage their canines as they walked by the Paris landmark.
The horrific incident comes just one week after the beheading of teacher Samuel Paty, 47, in a terrorist attack which shocked the country and exacerbated existing tensions within French society.
Police confirmed in a statement that they had intervened "following a police call for help for two women with stab wounds at the Champ-de-Mars" at approximately 8pm (18:00 GMT).
Two Muslim women were seriously injured in an apparent racially motivated attack near the Eiffel Tower in Paris.
One of the victims, Kenza, 49, was stabbed six times and taken to hospital with a punctured lung.
Two women were stabbed in front of the Eiffel Tower in Paris on Sunday after a dispute in what is being labelled as some as an Islamophobic attack following the murder of teacher Samuel Paty.
No information about the incident was initially released by authorities, which led to some criticism from online users.
Members of France's five million plus Muslim community have since complained of increased Islamophobia caused by a government clampdown on mosques and Muslim organisations.
Two bystanders intervened and reportedly restrained one of the attackers until police arrived.
Sources in the Paris police told the Daily Mail that a case of attempted murder in a knife attack case has been registered and investigations into the case are on.
Kenza told Liberation newspaper: "We were a family, five adults in all and four children". At the level of the Eiffel Tower there is a small, rather dark park, we took a little tour of it.
"As we walked, two dogs came up to us". The children were scared. "She hit me on the top of the skull in the ear, I don't know if it was with the knife, and then she stabbed me in the abdomen", Kenza said.