On a separate occasion last month, Trump spoke to his audience about another protester, saying "Knock the crap out of him, would you? Seriously, OK just knock the hell — I promise you I will pay for the legal fees. I promise, I promise."
In his own remarks after the protests Friday night, Cruz said he wants to "appeal to civility in the democratic discourse."
"We can have genuine differences but can do so in a way that appeals to our better angels, not our worst," Cruz said.
Cruz also threw some of the blame at President Barack Obama, accusing Obama of using moments of crisis over the course of his presidency to "divide" the country.
Texas Solicitor General R. Ted Cruz, left, and Don. R. Willett, right, leave the federal courthouse after a pre-trial hearing on Tuesday, Dec. 9, 2003, in Austin, Texas. Lawyers and federal judges met earlier to plan for the upcoming redistricting trial. Willett is deputy Attorney General for Legal Counsel. (AP Photo/Harry Cabluck)
Ted Cruz, from the Texas Attorney General's Office, speaks to members of the House Ways and Means Committee Tuesday, April 18, 2006, in Austin, Texas. Texas lawmakers embark on a 30-day special session to repair the state's method of paying for public education. Cruz explained the court rulings on school finance to the committee. (AP Photo/Harry Cabluck)
UNITED STATES - MARCH 21: Ted Cruz (R) Texas
(Photo By Douglas Graham/Roll Call)
Texas US Senate Republican primary candidate Ted Cruz, left, talks with his father Rafael Cruz as he works at the campaign's phone bank, on election day, Tuesday, May 29, 2012, in Houston. (AP Photo/Pat Sullivan)
Texas Republican Ted Cruz speaks to reporters Tuesday, May 29, 2012, in Houston. Cruz placed second behind Lt. Gov. David Dewurst in a field of nine candidates in the Republican primary race for a U.S. Senate seat. Cruz and Dewhurst will square off in a second round of voting July 31. (AP Photo/Pat Sullivan)
U.S. Senate Candidate Ted Cruz, right, has a discussion with David Dewhurst supporter Sherri Heinzman before the Texas Federation of Republican Woman luncheon during the Texas Republican Convention in Fort Worth, Texas, Friday, June 8, 2012. Cruz is competing with Dewhurst for the Republican nomination to replace retiring Sen. Kay Bailey Hutchison. They face a runoff July 31 after no one in a crowded GOP field won a majority of the votes cast in last month's primary. (AP Photo/LM Otero)
U.S. Senate candidate Ted Cruz arrives for a luncheon near the state Republican convention, Friday, June 8, 2012, in Fort Worth, Texas. (Ron T. Ennis/Fort Worth Star-Telegram/MCT via Getty Images)
U.S. Senate candidate candidate Ted Cruz and his wife, Heidi, wave to delegates after he spoke on the final day of the state Republican convention at the FWCC on Saturday, June 9, 2012, in Fort Worth, Texas. (Ron T. Ennis/Fort Worth Star-Telegram/MCT via Getty Images)
FILE - In this Nov. 6, 2012 file photo, Sen.-elect Ted Cruz, R-Texas, left, smiles as he listens to campaign chief consultant Jason Johnson go over election results as they come in, in Houston. (AP Photo/David J. Phillip, File)
U.S. Senator Ted Cruz, a Republican from Texas, speaks at the Heritage Foundation in Washington, D.C., U.S., on Wednesday, Oct. 30, 2013. Cruz was scheduled to speak on the scope of treaty power in the U.S. Constitution. Photographer: Pete Marovich/Bloomberg via Getty Images
FILE - In this Dec. 13, 2014 file photo, Sen. Ted Cruz, R-Texas talks with reporters on Capitol Hill in Washington. Never mind dropping oil prices. U.S. producers are pushing harder than ever for the right to sell U.S. crude oil overseas. It might seem counterintuitive: Oil prices are as low as they have been at any point since 2009 and the height of the Great Recession. Depending on the projection, prices could drop further still with slowing economies across the world. Oil producers are playing a longer game, betting that long-term demand remains strong and new markets offer lucrative rewards for U.S. producers. (AP Photo/Lauren Victoria Burke, File)
LYNCHBURG, VA - MARCH 23: Senator Ted Cruz (R-Texas) stands on stage his his daughter, Catherine Cruz, 4, left, his wife, Heidi Cruz, and his older sister, Caroline Cruz, 6, right, after he made a speech announcing his candidacy for a presidential bid at Liberty University on Monday March 23, 2015 in Lynchburg, VA.(Photo by Matt McClain/ The Washington Post via Getty Images)
Republican presidential candidate Sen. Ted Cruz, R-Texas, speaks as he campaigns Tuesday, Dec. 22, 2015, in Nashville, Tenn. (AP Photo/Mark Zaleski)