There are two ways to delete products.
1. After opening the item that you want to delete, select
"More Options" >> "Delete Product" from the right corner buttons and confirm it.
2. The second method is preferable to use, If you want to delete bunch of products simultaneously. Select the items that you want to delete and from "Actions" drop down list please select "Delete".
Once you’ve clicked "Submit" button a popup box will appear asking you what to do with "Linked Magento SKU" and confirm your decision to delete the item.
After opening the item navigate to "Settings" from left side menu check box "Product Enabled (Active)" (this is default mode), uncheck if you want the item become inactive.
Once you uncheck the option, the given item will become inactive and not visible in the product list. Don't forget to Save changes.
"Catalog" >> "Manage Products"
From "More Options" choose "Manage Grid"
Check "Status" field and click "Apply"
Change the "Status" field filter to show "Inactive" items
Click anywhere on the grid to refresh