The sheriff's department said deputies were assisting the U.S. Marshals Office in attempting to arrest the wanted suspect. The incident happened around 2:30 p.m. at the parking lot of the store, located in the 7700 block of Victoria Gardens Lane.
Deputies followed the suspect, who refused to comply with deputies, authorities said. After a few minutes, the suspect exited the vehicle and allegedly charged at deputies with a knife.
Deputies then opened fire.
Video obtained by Eyewitness News shows law enforcement tell the suspect they had a warrant for his arrest and shout "less lethal" numerous times. The suspect is seen jumping out of the car and rush toward deputies.
Several gunshots fired by deputies are then heard.
Rescue personnel tried to help the suspect, but he was pronounced dead at the scene.
"The incident is confined to the parking area and did not occur inside the store," Rancho Cucamonga police tweeted around 3:51 p.m.
Investigators say the man, who has not yet been identified, had an extensive criminal history. Authorities have not said why the suspect was wanted.
No deputies were injured in the incident.
Bass Pro Shops remained opened, but a portion of the parking lot was closed as an investigation continued.