The Democratic representative played some of the messages at a meeting Saturday morning at the Fountain Life Center in southwest Houston.
The callers used racial slurs and made threats against the congressman and others.
"You ain't going to impeach nobody. Try it and we will lynch all of you," one caller said.
"We'll actually even give you a short trial before we hang your [expletives]," another caller said.
Representative Al Green held the town hall event to hear from constituents about the Trump presidency and Green's calls for impeachment. There were uniformed security officers spread throughout the venue, though no disruptions or threats were reported at the event.
Doug Creamer attended the meeting to voice his opposition to impeachment. He said he doesn't think the discussion is appropriate so early in the Trump presidency.
"This initiative could have occurred with the last president," Creamer said.
Patricia Sullivan asked Green what the public can do to support Trump's impeachment.
Sullivan said she fears each coming headline about the Trump administration.
"Now [Trump's] over there getting ready to mess up overseas. Who knows what he's going to do?" she said.
After the town hall, Green told ABC13 he views these events as important information gathering sessions for him and fellow members of congress to decide whether to proceed with the impeachment process.
"I'm expecting the people to stand up and be heard and make their voices heard so that we in congress will know what their desires are," Green said.
He said threats won't stop him from pursuing this process.
"We are not going to be intimidated," he said.
Impeachment would require the support of a majority of members of the House of Representatives. So far, no Republicans are voicing support for President Trump's impeachment.
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