Using the first-principles calculations, the holes-induced [Formula: see text] magnetism associated with oxygen vacancy [Formula: see text] in [Formula: see text] and [Formula: see text] has been investigated. To obtain holes, the divalent calcium and tetravalent IVB-group ions are replaced respectively by the monovalent alkali, IB-group and trivalent III-group ions. It is found that the [Formula: see text] can enhance the magnetic moment of few acceptors-doped [Formula: see text], whereas it enhances the magnetic moment in most acceptor-doped [Formula: see text] except for La doping. Mainly, it is because the [Formula: see text] gives rise to no gap-states in [Formula: see text] but generates gap-states in [Formula: see text]. Based on the similar effect of [Formula: see text] on the band structure in [Formula: see text] or in [Formula: see text] (X = Ca, Sr, Ba), we suggest that there exists a similar effect of [Formula: see text] on [Formula: see text] magnetism in acceptor-doped alkaline titanium (zirconium) perovskites.