The present invention refers to pharmaceutical compositions based on ketorolac or one of its salts pharmaceutically acceptable, as well as the use of ketorolac or one of its salts acceptable from pharmaceutical viewpoint, for preparation of a pharmaceutical composition (tablets) for sublingual administration, with the purpose of accelerating the pharmacological response to ketorolac, without making use of the injectable via. On the other hand, a pharmaceutical composition is described encompassing, as one of its active principles, ketorolac or one of its salts acceptable from pharmaceutical viewpoint, representing from 10 to 15% by weight, in relation to the total weight of the compound and as the essential excipient, a ternary mixture of lactose/sorbitol/cellulose, eventually in a mixture with other excipients acceptable from pharmaceutical viewpoint.