This study investigated the main visual perceptions and the optimal LED lighting parameters for viewing museum paintings. Oil and gouache paintings seen under different LED illuminants were assessed using the categorical judgement method. It was found that ‘visibility’ and ‘warmth’ are the main perceptions for viewing paintings. The results showed that a correlated colour temperature around 3500 K, a negative deviation of the target from the blackbody locus and a high colour rendering index can achieve satisfactory results. The difference between colour fidelity-based colour rendering indices and colour preference-based colour rendering indices for a museum application was also explored.