Black has been charged with capital murder in the shooting death of Allen, who had been with the Department of Public Safety since 2002.
The Texas Department of Public Safety reported that the trooper pulled over Black's vehicle for a traffic violation.
A Texas state trooper has been shot and killed in Freestone County, the Navarro County Office of Emergency Management confirmed in a tweet Thursday afternoon. Waller County sheriff's deputies initiated a stop and shots were fired, but it was unclear who opened fire from sheriff's reports. Allen died at the scene.
The suspect was apprehended Thursday night near Prairie View, about 110 miles (177 kilometers) south of Fairfield. The trooper has not been identified.
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"Darbrett Montreal Black, 32, black male, 5' 11", 175 lbs. The gunman then fled. According to online jail records, Black is also being held on no bond on a charge of evading arrest in Anderson County, along with bonds totaling $400,000 dollars on Smith County charges of evading arrest and aggravated assault of a public servant.
Following news of the trooper's death, Waller County Sherrif's Office said on Facebook that they were saddened by the death of a "brother".
Authorities from multiple agencies are searching for the suspect.
The shooting happened in Freestone County which is about 90 miles southeast of Dallas, Texas.