The maltese dog, called Diego was later found dead on the pool deck on the 8th floor of the building, after suffering from severe injuries.
According to police reports, the couple was arguing Saturday night in the elevator when the man allegedly punched the woman in the face several times.
Then he left the building, while the woman returned to their shared apartment, dumped his clothes in the bathtub and poured bleach on them.
Then she went downstairs and the man reportedly returned to the 19th floor apartment, saw his clothes in the bathtub and threw the dog out the window.
Dallas police Sgt. Warren Mitchell told WFAA: "When she arrived home around 8 o'clock the next morning, she was informed by tenants who lived there at the apartment as well that her dog — which she had left the night before — was deceased on the 8th floor."
No one witnessed the man kill the dog, but cops believe from all indications the animal fell 11 stories to its death.
The suspect's name has not yet been released, but he is wanted for family violence and animal cruelty charges.