Non-membrane bound cell organelles found in both prokaryotic and eukaryotic cells are:

Cellular organelles can be classified by whether they are surrounded by a lipid membrane.

• Membrane‑bound organelles (e.g., mitochondria, lysosomes, centrosomes) have a phospholipid envelope that separates their interior from the cytosol.

• Non‑membrane‑bound organelles lack such a surrounding membrane and are freely suspended in the cytoplasm.

Ribosomes are assemblies of ribosomal RNA and proteins that synthesize proteins. They exist as either free particles in the cytosol or attached to the endoplasmic reticulum, but they never possess a surrounding membrane.

Both prokaryotic cells (which have no internal membrane‑bound compartments) and eukaryotic cells contain ribosomes, because protein synthesis is essential to all forms of life.

Examining the given options:

• Mitochondria – double‑membrane organelle, only in eukaryotes.

• Lysosomes – single‑membrane vesicles, only in eukaryotes.

• Centrosomes – membrane‑less, but present only in eukaryotic cells.

• Ribosomes – non‑membrane‑bound and present in both prokaryotes and eukaryotes.

Therefore, the organelle that fits the description “non‑membrane bound cell organelles found in both prokaryotic and eukaryotic cells” is ribosomes.