The incident happened last night between Haymarket and South Gyle, and means that a replacement bus service was put on.
In a message to passengers this morning, ScotRail confirmed the incident on its website.
A ScotRail spokesman said: “Due to a person being hit by a train yesterday evening between Haymarket and South Gyle a number of our carriages were out of position this morning resulting in some of our trains between Fife and Edinburgh running with fewer carriages than planned.”
