The 21-year-old former non-league central midfielder becomes the fifth new face to check into Greenhous Meadow this summer.
Adams has been with the Canaries since January 2016, where he impressed the then-Premier League side's boss Alex Neil so much that City took him up five divisions from the National League South.
Since then, Adams has shone for the Norwich development set-up and including a brief loan with National League outfit Braintree last term he netted five goals in 27 appearances from midfield.
He is the first player to join Town on loan for the upcoming campaign.
Hurst moved early following last season's finale to approach Norwich over the youngster's availability and, after watching Adams first-hand drive the young Canaries midfield forward on numerous occasions, is pleased to land his man.
"He's a player that's impressed me in the past," said Hurst. "I've seen quite a lot of him in the under-23s. I like him because he's got that drive – you can see it in him.
"He's not what maybe some of these (under-23 academy) players get stereotyped with. He stands out for me when I've seen him and he wants to fight and scrap as well as being able to play.
"He's very tenacious, puts his foot in and gets up and down the pitch well. If you're at Norwich you're not going to be too poor on the ball.
"But speaking to Norwich that's an area they want to try and improve on. I like the fact that he's a fighter, that's what he looks like – I'm really looking forward to working with him."
After impressing to earn himself a fresh 12-month deal with the Carrow Road club in May, Adams met up with his new colleagues as Town returned to training at their new Sundorne Castle complex on Friday.
With the Norwich man joining Abu Ogogo, Bryn Morris and Jon Nolan, Hurst revealed that Town's central midfield transfer business is complete.
Adams, who was able to give up his job in a TGI Friday's restaurant after leaving Dartford for Norwich, added: "I'm pleased to be here and glad to sign for a club that have interest in me. I'm looking forward to going with as far with the club as possible.
"I heard he's (Hurst) been watching me for quite a while and interested in how I play. I can add that to Shrewsbury and hopefully boost them into a better position.
"I'm building my foundation and here I am.
"As I was finding out about Shrewsbury it was a case of learning as much as I could and there was a good feel about it and I'm looking to learn a bit more."
Adams joins Arthur Gnahoua, Lenell John-Lewis, Zak Jules and Nolan as Hurst's new additions. They all trained at Sundorne today as the squad worked in preparation for their pre-season trip to Portugal this Sunday.
"You could call me aggressive," he added. "I like to try and win the ball back as much as I can, and call myself a box-to-box player, defend in our box then get in the other box and get some goals as well as winning the ball around the park.
"Tenacious you can call me!"