Kraven was a Russian hunter, which uses high tech versions of traditional hunting weapons in order to become the greatest hunter in the world. He had been collecting various magical animal-related artifacts from all over the world, which included White Tiger's tiger amulet.
When trying to hunt Ava down, it was also revealed Kraven was responsible for the death of her father, the previous White Tiger, making his battle against personal.
Kraven later joined Doctor Octopus's team of supervillains called the Sinister Six.
Return of the Sinister Six
An armored Doctor Octopus and Lizard invades Ryker's Island and reassembles the Sinister Six by armoring up Electro, Kraven the Hunter, Rhino, and Scorpion. The Sinister Six give Spider-Man a hard time until Norman Osborn in the Iron Patriot armor and the rest of Spider-Man's team arrives. While Spider-Man fights Lizard, Iron Patriot fights Doctor Octopus while Spider-Man's team fight the other members of the Sinister Six. When the Sinister Six end up combining their attacks to take down Iron Patriot, Doctor Octopus plans to inject Spider-Man with the Goblin Serum. Doctor Octopus then injects Norman Osborn with the Goblin serum while Spider-Man restored Lizard to Dr. Curt Connors. Norman Osborn becomes Green Goblin where he defeats most of the Sinister Six. Though Spider-Man has won against the Sinister Six, Green Goblin gets away with the captive members of Spider-Man's team. After the Sinister Six were defeated, Dr. Curt Connors thanks Spider-Man for saving him.