Enable Object Permissions in Permission Sets

Object permissions determine the base-level access users have to create, read, edit, and delete records for each object. Permissions sets are the recommended feature for managing object permissions.
Available in: Salesforce Classic (not available in all orgs) and Lightning Experience
The available object settings vary according to which Salesforce edition you have.
Permission sets available in: Essentials, Contact Manager, Professional, Group, Enterprise, Performance, Unlimited, Developer, and Database.com Editions

User Permissions Needed
To view object settings: View Setup and Configuration
  1. From Setup, in the Quick Find box, enter Permission Sets, and then select Permission Sets.
  2. Select a permission set.
  3. In the Find Settings... box, enter the name of the object and select it from the list. Click Edit,
  4. In the Object Permissions section, enable the desired permissions.
  5. Click Save.
On the object’s page, you can also edit tab settings, record type settings, and field permissions.

You can see all object permissions, as well as user, field, and custom permissions, that are enabled for a permission set on its summary page. On the permission set’s detail page, click View Summary. You can also see which permission sets, as well as permission set groups and profiles, grant access to an object in Object Manager. Select an object, and then click Object Access.