Hi HC, this is Sarah with Kohler Customer Service. I'm glad to answer your question. No, this urinal does not include the strainer. We suggest pairing either the K-9182-NA or K-9183-NA urinal strainers with this urinal. Thank you for choosing Kohler.
Thank you for your inquiry - I would recommend downloading the installation instructions for the 4920-T-0. They can be found on Kohler's website - go to www.us.kohler.com, type the model # into the search field, scroll down the page until you see: Technical Information Downloads, and then click on Installation Guide without Service Parts. You should find all the answers you have per the install but if you need any further assistance, please feel free to contact our Customer Care Department at 1800-456-4537.