Generally yes — Tylenol (acetaminophen) is commonly taken with most antibiotics and isn't expected to interact dangerously, but stay within the daily dose limit and check with your pharmacist about your specific antibiotic.
Acetaminophen relieves pain and fever through a different mechanism than antibiotics, which kill or stop bacteria, so there is no general, class-wide interaction between them. The NHS lists only a few medicines that "may not mix well with paracetamol" (the same drug as acetaminophen) — and most antibiotics are not among them; it advises checking the packet or leaflet and asking a pharmacist if you are unsure. The genuine cautions it does flag are narrow: one specific antibiotic, flucloxacillin (used in the UK, rarely prescribed in the US), can combine with acetaminophen to cause a rare metabolic problem (high anion gap acidosis), mainly in people who are seriously ill, malnourished, or have kidney problems. The bigger everyday risk is the acetaminophen itself — taking too much across multiple products can cause serious, sometimes fatal, liver damage.
Stay under acetaminophen's ceiling: MedlinePlus says do not take more than 4,000 mg per day from all sources, and accidental overdose is common because acetaminophen (sometimes labeled APAP) is hidden in many cold, flu, cough, and combination prescription products — read every label and don't double up. Don't drink heavily while taking it; MedlinePlus says don't take acetaminophen if you have three or more alcoholic drinks a day, since alcohol adds to liver risk. Tell your pharmacist or doctor about all your medicines (including the specific antibiotic), and check with them first if you take warfarin (the NHS flags this combination), have liver disease, or are pregnant. Seek urgent medical care for signs of liver trouble — nausea, vomiting, loss of appetite, upper-belly pain, dark urine, pale stools, or yellowing of the skin or eyes — and remember acetaminophen treats fever and pain but does not treat the infection, so finish your antibiotic course and call your prescriber if symptoms worsen or don't improve.
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.