If medium-pacer Abhimanyu Mithun and leg-spinners Shreyas Gopal and KC Cariappa, sharing two wickets each, set up the win for Karnataka then the 53-run fourth-wicket partnership between Uthappa (48) and Binny (32 not out) helped the R Vinay Kumar-led side achieve the target in 17.5 overs.
Uthappa smashed six fours and a six in his 41-ball stay, while Binny's 30-ball knock was laced with two fours and a six.
Earlier put into bat, Odisha suffered from lack of partnerships against a disciplined Karnataka attack to stumble to 102 for seven in 20 overs.
Abhishek Yadav top-scored with 31 runs as the rest of the batting disappointed.
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Brief Scores:
Odisha 102/7 in 20 overs (Abhishek Yadav 31, Biplab Samantray 19; Abhimanyu Mithun 2-13, Shreyas Gopal 2-15, KC Cariappa 2-14)
Karnataka 106/4 in 17.5 overs (Robin Uthappa 48, Stuart Binny 32 not out; Tukuna Sahoo 2-17)
Points: Karnataka 4, Odisha 0.