Malachi Randolph has also apologized, The Daily News, the student newspaper, reported Thursday.
"I'm sorry on all fronts. I'll say it over and over again," he said. "I was very frustrated and stressed out with all the work I had to do. I was frustrated with my boss, and he happens to be Asian."
Randolph has spent time in China. He said he will try harder in the future to be "professional" on Twitter.
Leaving student government will mean a big hole in his life, Randolph said. He is currently in New York City for Fashion Week.
"I was spending a good 50 hours a week working for Ball State and SGA and in my office," he said. "My life was SGA."
University officials said Randolph faces no punishment.
"His remarks are not a violation of any university policy or law," Tony Proudfoot, a Ball State spokesman, said. "He is likely to find, however, that such remarks do have unintended social consequences beyond formal actions from the university."
Randolph apparently realizes that.
"I don't think that it's going to blow over," he said. "It's already too late for it to blow over."
Ball State is a public university in Muncie, Ind.