Composition comprising milk protein hydrolysates, which can be obtained by treating a solution of milk protein material with a) at least one trypsin-like endopeptidase from a microorganism, and b) at least one chymotrypsin-like endopeptidase from a microorganism, to induce oral tolerance in children or patients who need it, or to decrease the risk of allergies in children or patients who need it, or to reduce the severity of allergies during childhood or in later life, especially in children or patients who need it, where said trypsin-type endopeptidase comes from a strain of Kutzneria albida and has a sequence identical to SEQ ID NO: 1 of the mature polypeptide at least 75%, at least 80%, at least 85 %, at least 90%, at least 95%, at least 96%, at least 97%, at least 98%, at least 99% or 100%； and wherein said chymotrypsin-type endopeptidase comes from a strain of Nocardiopsis Sp. or Metarhizium anisopliae and has a sequence identical to those of EMBL CDS CAI94179 or TREMBL: Q9Y843 at least 75%, at least 80%, at least one 85%, at least 90%, at least 95%, at least 96%, at least 97%, at least 98%, at least 99% or 100%.Composición que comprende hidrolizados de proteína láctea, los cuales se pueden obtener tratando una solución de material proteico de leche con a) al menos una endopeptidasa de tipo tripsina procedente de un microorganismo, y b) al menos una endopeptidasa de tipo quimotripsina procedente de un microorganismo, para inducir la tolerancia oral en niños o pacientes que la necesiten, o para disminuir el riesgo de alergias en niños o pacientes que lo necesiten, o para reducir la gravedad de las alergias durante la infancia o en la vida posterior, sobre todo en niños o pacientes que lo necesiten, donde dicha endopeptidasa de tipo tripsina procede de una cepa de Kutzneria albida y tiene una secuencia idéntica a la SEQ ID NO:1 del polipéptido maduro en al menos un 75%, al menos un 80%, al menos un 85%, al menos un 90%, al menos un 95%, al menos un 96%, al menos
