Ahmed al-Jumaili, 36, who came to the US from Iraq about one month ago, was killed in a shooting incident on Thursday.
The victim died from his injuries after he was transported to Texas Health Presbyterian Hospital, Dallas Police Department Spokeswoman Monica Cordova said.
Investigation is under way to find out whether the shooting was a hate crime, according to police officials.
The North Texas chapter of the Council on American-Islamic Relations (CAIR) called on authorities in a statement on Friday to investigate the incident as a hate crime.
"Because of recent incidents targeting American Muslims, including the murder of three young Muslims in North Carolina, we urge law enforcement authorities to address community concerns about a motive in this case," said Alia Salem, Executive Director of the North Texas chapter of the Council on American-Islamic Relations.
Witnesses said the Iraqi man was killed when he was with his wife, Zahara, who wears an Islamic head scarf. The couple got married 16 months ago.
A group of men started firing a gun and some nearby cars were also hit in the incident.
Last month, a gunman shot dead three young American Muslims in North Carolina.
Deah Shaddy Barakat, 23, his wife Yusor Mohammad Abu-Salha, 21, and her sister, Razan Mohammad Abu-Salha, 19, were fatally shot near the University of North Carolina at Chapel Hill campus on February 10.
Craig Hicks, 46, was identified as the shooter and indicted by a grand jury on three counts of first degree murder.
The tragic murders of three bright Muslim students have started a debate over whether the students were targeted because of their religion.
I thought the headline said this was a story about a Muslim guy who got shot in Dallas. There are more facts about another shooting in NC than there are about the one in Dallas. Who the fuck wrote this gibberish?