In the core series games, due to its functionality, depositing Pokémon into a Box will no longer restore their HP, status, and PP. Instead, all Pokémon under the player's ownership, regardless of whether or not they are in the party, will be restored when healed by any NPC.
The Pokémon Box has its own icon in the Bag menu, separate from any pockets. It is a single continuous list of Pokémon, with newly caught Pokémon placed at the bottom of the Pokémon Box. It can hold up to 1,000 Pokémon. A player can choose to mark a Pokémon as a "favorite" with the icon.
The player can manually arrange the order in which Pokémon appear in the Pokémon Box, but there cannot be any gaps between Pokémon.
The Pokémon Box can be sorted, with several different possible sort methods provided. If the player sorts their Pokémon Box, any manual ordering of Pokémon within the Pokémon Box will be permanently lost. If the method by which the player has most recently sorted their Pokémon Box is by level or CP, every Pokémon's level or CP (respectively) will be displayed over its menu sprite in the Pokémon Box.
The following sort options are available:
Sort by order caught
Sort by Pokédex number
Sort by level (high to low)
Sort by level (low to high)
Sort by CP (high to low)
Sort by CP (low to high)
Sort with favorites on top
Sort by species name
Sorting with favorites on top sorts all favorites and all non-favorites by Pokédex number, but favorites are placed at the top of the Pokémon Box.
The player can search their Pokémon Box for Pokémon with specific attributes. The player can build a query using any number of these attributes, which causes the query to return results based on the intersection of all filled fields. Each field (except Markings) can only have one entry. The fields are as follows:
The player can select a species name of a Pokémon that is registered as owned in their Pokédex.
The player can select any of the 18 types. The results returned are not affected by whether a type is a Pokémon's primary or secondary type.
The player can select any move that exists in the game, except Celebrate and moves that debuted in Pokémon: Let's Go.
The player can select any move taught by a TM in their possession.
The player can select any nature
The player can select ♂, ♀, or Unknown.
The player can select whether the Pokémon is a favorite or not and any number of markings (each in either blue or red).
The Pokémon Box Link is no longer its own item, but is still a feature unlocked by progressing through the main story. After being unlocked, it can be accessed from the party menu the same way as Sword and Shield. It cannot be used inside Gyms or the Pokémon League.
In Pokémon GO, the player has a Pokémon Box that can initially hold 250 Pokémon, including up to 12 Eggs (3 spaces reserved for bonus storage). Pokémon Storage Upgrades can be purchased in the Shop for 200, with each upgrade expanding the capacity by 50 Pokémon, up to a maximum of 6,100 total.