Instagram is a great way to share photos and videos with friends and family, but it can also be a source of stress. If you’re having trouble managing your DMs, here’s how to delete them on both sides. To delete a DM on your side of the account, open the app and go to the messages tab. Tap on the message you want to delete and select “delete.” To delete a DM on Instagram’s side of the account, go to dm.instagram.com and sign in with your Instagram account. Under “Messages,” select “DM.” On the right side of the screen, under “From,” tap on the person who sent you the DM and select “delete.” ..