A wheel bearing apparatus for a vehicle comprising: an outer member formed on its inner circumference with double row outer raceway surfaces (10a, 10a); an inner member including a hub wheel and at least one inner ring, the hub wheel being integrally formed on its one end with a wheel mounting flange and with a cylindrical portion axially extending from the wheel mounting flange, the inner ring being press-fitted onto the cylindrical portion of the hub wheel, and double row inner raceway surfaces (2a, 3a) opposing respectively to the double row outer raceway surfaces (10a, 10a) and formed on the outer circumferences of the hub wheel and the inner ring; double row rolling elements (6, 6) freely rollably contained between the inner raceway surfaces (2a, 3a) of the inner member and the outer raceway surfaces (10a, 10a) of the outer member; and seals (8, 9) mounted within annular openings formed between the outer member and the inner member at least one seal (8 or 9) of the seals (8, 9) comprises a core metal (12 or 18) press-formed of steel sheet including a cylindrical fitting portion (12a or 18a) adapted to be press-fitted into the inner circumference of the end of the outer member via a predetermined interference and a radial portion (12b or 18b) extending radially inward from the end of the fitting portion (12a or 18a), and further comprises a sealing member (13 or 19) of synthetic rubber formed with a plurality of sealing lips (13a, 13b, 13c or 19a, 19b, 19c) and integrally adhered to the fitting portion (12a or 18a) of the core metal (12 or 18) by vulcanizing adhesion; bearing grease is contained within the bearing in a sealed manner and sealing grease is applied to the sliding portions of the sealing lips (13a, 13b, 13c or 19a, 19b, 19c); characterised in that both the bearing grease and the sealing grease use same thickener and the worked penetration of 350 or less; and that the kinematic viscosity of base oil of the sealing grease at 40°C is set to 70% or less of that of the bearing grease at 40°C. an outer member formed on its inner circumference with double row outer raceway surfaces (10a, 10a); an inner member including a hub wheel and at least one inner ring, the hub wheel being integrally formed on its one end with a wheel mounting flange and with a cylindrical portion axially extending from the wheel mounting flange, the inner ring being press-fitted onto the cylindrical portion of the hub wheel, and double row inner raceway surfaces (2a, 3a) opposing respectively to the double row outer raceway surfaces (10a, 10a) and formed on the outer circumferences of the hub wheel and the inner ring; double row rolling elements (6, 6) freely rollably contained between the inner raceway surfaces (2a, 3a) of the inner member and the outer raceway surfaces (10a, 10a) of the outer member; and seals (8, 9) mounted within annular openings formed between the outer member and the inner member at least one seal (8 or 9) of the seals (8, 9) comprises a core metal (12 or 18) press-formed of steel sheet including a cylindrical fitting portion (12a or 18a) adapted to be press-fitted into the inner circumference of the end of the outer member via a predetermined interference and a radial portion (12b or 18b) extending radially inward from the end of the fitting portion (12a or 18a), and further comprises a sealing member (13 or 19) of synthetic rubber formed with a plurality of sealing lips (13a, 13b, 13c or 19a, 19b, 19c) and integrally adhered to the fitting portion (12a or 18a) of the core metal (12 or 18) by vulcanizing adhesion; bearing grease is contained within the bearing in a sealed manner and sealing grease is applied to the sliding portions of the sealing lips (13a, 13b, 13c or 19a, 19b, 19c); characterised in that both the bearing grease and the sealing grease use same thickener and the worked penetration of 350 or less; and that the kinematic viscosity of base oil of the sealing grease at 40°C is set to 70% or less of that of the bearing grease at 40°C.