Bryant told Michael Silver of Yahoo! Sports that Ireland, while probing the Oklahoma State star's troubled past, asked Bryant if his mother was a prostitute.
Bryant's background came under intense scrutiny in the weeks before the draft. The New York Times wrote about his mother, Angela, who went to prison for selling crack cocaine and abused marijuana, PCP and cocaine.
In an earlier Silver story, Bryant described the offensive question without revealing names:
"They asked me if my mom's a prostitute," Bryant said. "No, my mom is not a prostitute. I got mad -- really mad -- but I didn't show it. I got a lot of questions like that: Does she still do drugs? I sat and answered all of them."
In Tuesday's story, Silver identified Ireland and call wrote "Ireland seems like a strong candidate to be decreed the biggest jerk in the history of job interviewers."
Ireland phoned Bryant after Tuesday's story was posted and issued a statement through the Dolphins.
"My job is to find out as much information as possible about a player that I'm considering drafting,” Ireland said. "Sometimes that leads to asking in-depth questions.
"Having said that, I talked to Dez Bryant and told him I used poor judgment in one of the questions I asked him. I certainly meant no disrespect and apologized to him.
"I appreciate his acceptance of that apology, and I told him I wished him well as he embarks on his NFL career."