Kelvin Goertzen, the Progressive Conservative member of the legislature for Steinbach, says some of the tweets were abusive.
The NDP government's Bill 18 includes a section that would require schools to allow clubs such as a gay-straight alliance.
That has brought about opposition to the law from social conservatives who say it would infringe on religious freedom.
Goertzen says people on both sides of the debate should be respectful of other points of view.
He says he has received more than 8,000 emails from people who oppose the legislation in its present form.
"I wasn't getting a huge amount of negative feedback on Twitter but the type of comments that I was getting off of Twitter, in particular, were quite negative," he said.
"I was concerned more because I have a young child at home and it would be very easy for him to check on an application on an iPad, for example, and see these sort of comments."
Goertzen said concern about the legislation is spreading outside of rural areas to Winnipeg. (CHSM)