Kendrell Lavar Lyles was charged with three counts of murder and was being held without bond in the Collin County Jail in McKinney.
What happened to Muhlaysia Booker?
The break in Booker's case comes as police continue to investigate killings involving at least two other transgender victims in the city.
Lindsey, 26, was pulled from a lake by Dallas Police on June 4.
Investigators said that, during the course of investigating these two cases, detectives noticed that Mr Lyles drove the same type of auto believed to have picked up Muhlaysia Booker on 18 May - the day she was found dead. Cellphone analysis placed him at the location where Booker was killed and revealed Lyles frequented the area she was last seen, police said.More news: Boris Johnson launches bid to become UK Prime Minister
Human Rights Campaign (HRC) said that at least 26 trans people were killed across the United States previous year - the majority of whom were African-American trans women. In April, an unnamed 26-year-old transgender woman survived being stabbed multiple times in south Dallas.
Police in Dallas have arrested a suspect in connection with a string of murders targeting black transgender women.
Desperate for answers, police have called on the FBI to help with their investigation.
Kenneth Cichocki and Leticia Grant, the other two people Lyles is accused of killing, are not transgender, Geron said.
Major Geron said Lyles was a "person of interest" in the killing Chynal Lindesy.More news: Ola Aina set to join Torino on permanent deal
Moore praised Dallas PD detectives for having done "an excellent job in investigating these cases", commending them for "their diligence and coordination".
Kendrell Lavar Lyles, 34, was arrested earlier this month in connection to the killing of Muhlaysia Booker in May.
A video of the incident showed a man putting on gloves and punching her repeatedly, giving her a concussion and a broken wrist.
As a crowd gathered around, police say one onlooker, Mr Thomas, was offered money to beat Ms Booker. Although it was flagged as a hate crime, gender identity is not listed under Texas' hate crime statute. Her death drew national attention to the cycle of violence transgender women regularly experience.More news: Cricket chiefs deny World Cup TV 'gagging' order