Students voted 241 to 176 to raise the student activity fee $16.50 for all students.
But Larson said Article 6, Section 503 of the Student Code requires that at least 10 percent of the student body must vote to approve any increase in student fees.
"I am fairly certain that it will not pass," he said.
Larson said he was disappointed with the number of students who voted in Tuesday's election. "I'm disappointed that turnout was so low, but traditionally elections that are not held during the main election for student body president do not generate a large turnout," he said.
But Larson said he was pleased that the majority of students who voted supported the referendum. "I'm glad to say that the majority of students who voted tonight supported the idea of raising student fees."
Student Congress will now re-evaluate whether to continue supporting the fee increase in the fall, Larson said. "We will have to strategize about how we're going to get 10 percent of the student body to vote."
Tuesday's election also was held to fill 13 empty seats that were left in Student Congress after the Feb. 12 general student body elections.
Board of Elections Chairwoman Emily Margolis said seven students ran for the 13 available seats.
Margolis said that as of Tuesday night, she had contacted all seven candidates, and four of them accepted their posts. She said it was probable that the other three would accept.