Open Instagram and go to the profile of the account you want to mute
Tap Following
Tap Mute
Turn on Posts, Stories, or both
To mute from your feed, tap the three dots on a post from that account
Tap Mute
Choose Mute posts or Mute posts and story
To unmute, return to the account’s profile
Tap Following
Tap Mute
Turn off Posts, Stories, or both