The incident began Tuesday afternoon when an off-duty officer at the Home Depot called to request backup officers for an arrest.
USA authorities have apprehended 29-year-old Armando Juarez, who is suspected of having shot and wounded three people in North Dallas, local media reported.
A heavy police presence swarmed the area as officials blocked off the area.
According to the Dallas Morning News, Juarez was arrested around 9 p.m. after a police pursuit.More news: BBNaija 2018: Miracle Declared Winner; Cee-C Comes Second
"I continue to be upset at the lack of respect of our police in this city and in our country", said Mayor Mike Rawlings, who also attended the hospital news conference.
"Our thoughts and prayers are with [Dallas Police Department] and the two officers shot and critically wounded". He is believed to be armed, and is also believed to be driving a white pickup truck.
The chief asked for people to keep the officers, their families and department in their prayers.
Juarez is to be considered and unsafe, Hall said, adding that it is unclear "how he was able to get a gun and shoot all three of the victims". "Texas honors all the men and women who protect and serve our communities, and justice will be served".
Five Dallas officers were killed and seven others injured in July 2016 when a military veteran who had served in Afghanistan fired on them.