Katowice (Śląskie Voivodeship) has 2 climbing gyms in our database. We confirm data at the source; still, check hours and climbing type with the gym before you go.
Katowice has two bouldering gyms and no rope wall within the city limits: BLOKatowice on Karoliny and LIMBO Bouldering on Piotrowicka. Both focus purely on bouldering — climbing at low height over mats, without a rope, harness or partner.
LIMBO opens at 10:00 and BLOKatowice at 14:00, both running into the evening. For rope climbing, the nearest options are Sosnowiec (Poziom 450), Chorzów, Gliwice and Bytom — the whole conurbation is within a few dozen minutes, so in practice it is worth looking at the entire region rather than the city alone.