The present invention relates to an anti-CD19 antibody having a variant Fc region having some specific amino acid modifications relative to a wild-type Fc region which confer one or several useful effector functions. The present invention relates in particular to chimeric, humanized or full human anti-CD19 antibodies comprising such a variant Fc region. It relates advantageously to antibodies with an interesting and valuable glycosylation profile, especially a low fucose level and/or a high oligomannose level and/or higher level of sialylated glycoform. The present invention also relates to the use of these antibodies in the treatment, prevention or management of disease or disorder, such as cancer, especially a B-cell malignancy, and auto-immune disease.