Generally yes — Tylenol (acetaminophen) and meloxicam work differently and are commonly combined for pain, but stick to each drug's dosing and check with your pharmacist or doctor first.
Acetaminophen (Tylenol) and meloxicam are different kinds of pain reliever that act in different ways, so combining them is not the same as taking two NSAIDs. Meloxicam is a nonsteroidal anti-inflammatory drug (NSAID) that reduces inflammation, while acetaminophen is not an NSAID and works mainly to relieve pain and fever. There is no documented dangerous interaction between acetaminophen and meloxicam, and acetaminophen is routinely paired with an NSAID for better pain control. As a general principle, the NHS notes that adults can take paracetamol (acetaminophen) at the same time as the NSAID ibuprofen if needed — though that example is ibuprofen rather than meloxicam specifically, the underlying logic (acetaminophen plus one NSAID) is the same. The real cautions come from meloxicam itself as an NSAID, and from accidentally taking too much acetaminophen, rather than from a clash between the two drugs.
Do not double up: never combine meloxicam with a second NSAID (ibuprofen, naproxen, aspirin), since the NHS says taking more than one NSAID at a time can cause problems and MedlinePlus says not to start another NSAID without talking to your provider. Watch your acetaminophen total — many cold, flu, and combination pain products already contain it, and exceeding the safe daily amount can cause serious liver damage, so read every label. Meloxicam (as an NSAID) carries its own warnings: it can cause stomach ulcers or bleeding (stomach pain, vomiting blood, or black tarry stools), and may raise the risk of heart attack or stroke; take it with food and at the lowest effective dose for the shortest time. Be especially careful or check with a clinician first if you have stomach ulcers, kidney or heart disease, high blood pressure, are over 65, drink alcohol regularly, take a blood thinner, or are pregnant or breastfeeding. Seek urgent care for signs of GI bleeding, chest pain, shortness of breath, or symptoms of liver trouble, and confirm this combination with your pharmacist or doctor for your specific situation.
This is general reference, not medical advice, and not a guarantee of safety. Interactions depend on your doses, health conditions, and other medicines. Always confirm with your pharmacist or doctor before combining products, and follow the dosing on each label.