Suleman, 34, and Johnston, 43, were on a flight from New York City to Los Angeles that was delayed more than two hours. Suleman's children — who appeared on the Today show with her Friday — were apparently crying in the business section when Johnston told her to keep it down.
Suleman asked, "How would you like me to keep eight 2-year-olds quiet?" according to her rep. Johnston allegedly responded by saying, "Get more help!" Suleman's rep said her client then yelled, "Why don't you grow a baby and get a life?"
Johnston returned to her seat, but Suleman's rep told TMZ she eventually got off the plane and did not return.
When she arrived in Los Angeles, Suleman told a TMZ cameraman, "I guess there's some people that don't like kids."
Johnston's rep had no comment.