New South Wales's police said officers raced to the apartment in the harbourside suburb of Wollstonecraft last Saturday after reports of a violent domestic dispute between a man and a woman.
Neighbours reported a woman screaming hysterically, a man yelling "I'm going to kill you, you're dead! Die, Die" and sounds of furniture being tossed around.
"Numerous police cars responded to the address and began banging on the door," Harbourside Local Area Command said on their Facebook page.
"Umm, I don't have one," he answered.
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When police explained they had reports of a domestic and a woman screaming, he replied: "I don't know what you're talking about, I live alone".
Pressed about the threats to kill, the man became sheepish and even apologetic as it emerged what had caused the ruckus.
"It was a spider, a really big one!!," he said, admitting he was chasing the large arachnid around his apartment with a can of insect spray.
Authorities were not able to say what kind of spider was involved, beyond "a big one" and that it had met its end.
"I hate spiders with an absolute passion," said Inspector Dean Lindley who attended the scene.
"I don't get close enough to check out what kind of spider it is mate," he told 2UE radio on Friday.
Lindley said the apartment was "foggy" with pest spray when officers entered and it was "lucky he wasn't smoking as the whole unit would have gone up".
Funnel-web spiders are particularly feared because their bite can be fatal, although there have been no deaths since an anti-venom was developed in the 1980s.