Brazoria County Sheriff's Office Deputy Jesus Vargas was shot and killed while serving a warrant in southwest Houston.
The dog, a year-and-a-half old Belgian Malinois, was shot two times and remained in stable condition on Wednesday evening.
Houston police identified the suspect as 56-year-old Robert Lee Davis III, also known as Sean Christopher Davis.
The Houston Police Department said four men in their mid to late 20s were shot multiple times in a grassy, gated lot.