hunting spider
US /ˈhʌntɪŋ ˌspaɪdər/
UK /ˈhʌntɪŋ ˌspaɪdər/

1.
a spider that actively hunts its prey rather than catching it in a web
:
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The garden is home to several species of hunting spider.
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Unlike web-building spiders, a hunting spider relies on speed and agility.