He is accused, along with another man, of fatally beating and stabbing a man then setting his home on fire.
According to the suit, Mr Laswell weighed 187kg when he was jailed in September, the Associated Press reported.
"On several occasions I have started to do some exercising and my vision went blurry and I felt like I was going to pass out," Mr Laswell said in his lawsuit.
"About an hour after each meal my stomach starts to hurt and growl. I feel hungry again."
He said he should not be losing weight because he did little exercise.
"If we are in a small pod all day (and) do next to nothing for physical exercise, we should not lose weight," the suit said.
"The only reason we lost weight in here is because we are literally being starved to death."
The meals, provided through Aramark Correctional Institution Services averaged 3000 calories a day, jail spokesman Hunter Petray told The Morning News of northwest Arkansas yesterday.
A typical Western diet consists of 2000 to 3000 calories a day.