Sealing device for a rolling bearing , comprising: a first annular screen designed to be constrained during use to a first ring of the rolling bearing; a second annular screen arranged facing the first annular screen and designed to be constrained during use to a second ring of the rolling bearing ; a first seal made of an elastomer and mounted integrally on a first side of the first annular screen directed towards the second annular screen , the first seal being provided with a sliding-contact annular sealing ring intended to make contact, during use, with the second ring of the rolling bearing ; and a second seal made of an elastomer and mounted integrally on a second side of the second annular screen directed towards the first screen , the second seal comprising a first non-contacting annular sealing lip designed to cooperate during use with the first ring of the rolling bearing ; the sealing device being characterized in that , in combination: i) the first seal is provided with a first number (N1) of non-contacting annular sealing lips (L1) arranged obliquely with respect to an axis of symmetry (A) of the sealing device so as to extend away from the axis of symmetry (A); ii) the second seal is provided with a second number (N2) of non-contacting annular sealing lips (L2) arranged obliquely with respect to the axis of symmetry (A) of the sealing device so as to extend away from the axis of symmetry (A); iii) both the first seal and the second seal are each provided with the same number of non-contacting annular sealing lips (L1, L2); iv) the annular sealing lips (L1) of the first number (N1) of non-contacting annular sealing lips (L1) of the first seal are arranged radially alternating and axially overlapped the annular sealing lips (L2) of the second number (N2) of non-contacting annular sealing lips (L2) of the second seal so as to define, between them and starting from the first non-contacting annular lip a winding path (P) so as to hinder any entry of washing liquids or other impurities into the rolling bearing when the sealing device is mounted on the rolling bearing and facilitate at the same time the expulsion of washing liquids or other impurities which may have infiltrated along the said path (P). i) the first seal is provided with a first number (N1) of non-contacting annular sealing lips (L1) arranged obliquely with respect to an axis of symmetry (A) of the sealing device so as to extend away from the axis of symmetry (A); ii) the second seal is provided with a second number (N2) of non-contacting annular sealing lips (L2) arranged obliquely with respect to the axis of symmetry (A) of the sealing device so as to extend away from the axis of symmetry (A); iii) both the first seal and the second seal are each provided with the same number of non-contacting annular sealing lips (L1, L2); iv) the annular sealing lips (L1) of the first number (N1) of non-contacting annular sealing lips (L1) of the first seal are arranged radially alternating and axially overlapped the annular sealing lips (L2) of the second number (N2) of non-contacting annular sealing lips (L2) of the second seal so as to define, between them and starting from the first non-contacting annular lip a winding path (P) so as to hinder any entry of washing liquids or other impurities into the rolling bearing when the sealing device is mounted on the rolling bearing and facilitate at the same time the expulsion of washing liquids or other impurities which may have infiltrated along the said path (P). <EOS>