The Union Dutchwomen controlled the tempo for much of the first half, and scored their first goal in the 35th minute when a shot from Allison Cuozzo ricocheted off the keeper and Katie McLean put it home.
Fisher's best opportunity to score came in the second half. With the Cardinals trailing 2-0,
Nichole Clark headed a cross off the crossbar that would have cut the Union lead down to one.
Fisher (1-4 overall) will return to action at 4 p.m. on Wednesday to take on Rochester Institute of Technology in Fisher's first Empire 8 Conference game of the season.