The first shooting happened in the area of 20th Street and Golder Avenue around 6:05 PM on January 30th.
Police say that Jeffery Dossey was sitting in his home in the 800 block of West 22nd Street when he heard yelling outside.
Dossey, 18, reportedly grabbed a stick and ran outside, but two Hispanic men confronted him in front of the home.
One of the men allegedly pointed a gun at Dossey and fired several rounds at him.
One of the bullets reportedly hit Dossey in the chest.
Officers say that one of the men involved in the shooting was wearing a plain black hoodie, and he had a handlebar mustache.
The other assailant was reportedly wearing a gray hoodie with the words "South Pole" on the front of it.
Police say that Dossey tried to drive himself to Medical Center Hospitial, but he stopped at Golder Avenue and West 20th Street and called 911.
Odessa firefighters then took Dossey to the hospital, where he was treated for his injuries.
Odessa Police also say that Ervin Lee Terry called them saying he'd been shot in the area of Laredo Drive and South Dixie Boulevard around 3:35 AM Thursday.
The call came moments after an officer patrolling the area reported hearing multiple gunshots.
Officers say that Terry had no visible gunshot wounds, but he was taken to M.C.H. with a scratch across his chest.
Terry reportedly told police that he'd asked for a ride in a vehicle that had 6 people in it.
Terry reportedly said that he didn't know anyone in the vehicle, or even where it was going.
Terry also allegedly said that the vehicle suddenly game to a stop and all 6 people in it started shooting at him.
Officers searched the area where the shooting reportedly took place, only to find another shooting victim -- Dequay Harris -- in the 1900 block of Rochester Avenue.
Harris, 18, was taken to M.C.H. with a gunshot wound in his shoulder.
Harris also said he didn't know who shot him, and that lack of information is making these shootings tough cases for Odessa Police.
"A lot of it's going to take somebody coming forward and telling us what really happened," Odessa Police Cpl. Sherrie Carruth told Big 2. "Right now, we don't have enough information to speculate and assume, and we don't want to speculate and assume. We want to verify what actually did happen, identify who all are involved. And the victims are the ones that would know this."
Anyone with information of any of these shootings should call Odessa Police at (432) 333-3641 or Odessa Crime Stoppers at (432) 333-TIPS (8477).