The Bounce Bracelet is a specialized bracelet that Sonic wears on his wrist. In Sonic Adventure 2 and Sonic Adventure 2: Battle, the Bounce Bracelet looks like a grey bracelet with a mechanical device on the top, while in Sonic the Hedgehog (2006) it is golden with a glowing green light on the top. When wearing it, it allows Sonic to perform the Bounce Attack.
Sonic Adventure 2
The Bounce Bracelet is located in Pyramid Cave. After passing the second Star Post, the Bounce Bracelet can be found on the way down the main path.
Sonic the Hedgehog (2006)
In Sonic the Hedgehog (2006), the Bounce Bracelet becomes available when the player has to enter Radical Train as it is needed to access it. It can bought from the local shop for 2000 Rings.
The Bounce Bracelet is one of the two upgrades required to get the Magic Gloves upgrade, which is found in City Escape.
This upgrade and the Magic Gloves upgrade are the only two of Sonic's upgrades that doesn't have an equivlent with one of Shadow's upgrade.
In Sonic the Hedgehog (2006), the Bounce Bracelet is the only Sonic upgrade to be seen being worn by him in gameplay (Excluding gems, which are all optional). All the other upgrades, like the Light Chip and Antigravity, are not seen.
It is also the only upgrade that is not used through the Custom Shoes.
When Sonic wears the Bounce Bracelet in Sonic the Hedgehog (2006), he wears it on the middle of his glove cuff. This gives a very similar appearance to when, at the end of Sonic Unleashed, Sonic wears the bracelet Chip wore.
The Bounce Bracelet in Sonic Adventure 2
Sonic finding the Bounce Bracelet in Pyramid Cave
Sonic Wearing the Bounce Bracelet in Sonic the Hedgehog (2006)