The former Wycombe right-back's eye-catching performances this season had sparked speculation linking him to Premier League sides.
But Martin says he is keen to continue his development with the Canaries.
"Playing under this manager, at this club and with the players I have around me I feel like I have improved and hopefully people can see that," he said.
"This new contract gives me a platform to continue that and the fans have been great since I've been here and I'm hopefully here for a few more years to come."
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