<!-- from fixya rte -->Delete my instagram account - iPhone Apps

https://help.instagram.com/370452623149242

Quoting from link above:

How do I temporarily disable my account?
How do I delete my account?
When you delete your account, your profile, photos, videos, comments, likes and followers will be permanently removed. If you'd just like to take a break, you can temporarily disable your account instead.
After you delete your account, you can't sign up again with the same username or add that username to another account, and we can't reactivate deleted accounts.
To permanently delete your account:

1. Go to the Delete Your Account page. If you're not logged into Instagram on the web, you'll be asked to log in first. You can't delete your account from within the Instagram app.
2. Select an option from the drop-down menu next to Why are you deleting your account? and re-enter your password. The option to permanently delete your account will only appear after you've selected a reason from the menu.
3. Click or tap Permanently delete my account.

If you'd like to delete a different account, click the username in the top-right of the Delete Your Account page, tap/click on next to username and select Log Out. Log back in as the account you want to delete and follow the directions above.
For security reasons, we can't delete an account for you. You'll need to be able to log into your account to delete it. If you can't remember your password or username, see some tips for logging in.

Hey there, you need to go to settings, there you can close your account...

Log in to your Instagram account and click help centre on the left side. there will be five a lot of options click on " MANAGING YOUR ACCOUNTS" then click on "DELETE YOUR ACCOUNT".

1. Go to the Delete Your Account page. If you're not logged into Instagram on the web, you'll be asked to log in first. You can't delete your account from within the Instagram app.
2. Select an option from the drop-down menu next to Why are you deleting your account? and re-enter your password. The option to permanently delete your account will only appear after you've selected a reason from the menu.
3. Click or tap Permanently delete my account.

If you'd like to delete a different account, click the username in the top-right of the Delete Your Account page, tap/click on next to username and select Log Out. Log back into the account you want to delete and follow the directions above.

To completely delete your Instagram account follow this link:
https://instagram.com/accounts/remove/request/permanent

If you only want to temporarily disable your account:
Click on your account name.
Click Edit Profile.
Click Temporarily disable my account at the bottom right.

Hope this helps!

You can usually go to your account settings and find delete or close my account in that area if not next best thing is to google or with Instagram search close my Instagram account.

When you delete your account, your profile, photos, videos, comments, likes and followers will be permanently removed.
To delete your account:

1. Leave the Instagram app and log into instagram.com from a desktop computer
2. Click your username in the top right and then select Edit Profile
3. Click I'd like to delete my account in the bottom-right corner

For security reasons, we can't delete an account for you. You'll need to be able to log into your account to delete it. If you can't remember your password or username, see some tips for logging in.
Keep in mind that we can't reactivate your account, and you can only sign up again with the same username if it's still available. If you don't want to delete your account but want to change who can see it, you can set your posts to private or block people.