Direct force measurements between two mica surfaces in aqueous electrolyte solutions over broad ranges of LaCl₃ concentrations and pH values were carried out with a surface forces apparatus. Charge inversion on mica surfaces is detected once the LaCl₃ concentration reaches a critical value. With the continual increase of LaCl₃ concentrations, the mica surface will be overscreened by the counterions. It is demonstrated that the two mica surfaces may experience the jump-in contact even at high LaCl₃ concentrations, which is seldom seen in monovalent salt solutions. The strong adhesion cannot be attributed to the van der Waals force alone, but should include the ion–ion correlation forces. Through adjusting the pH values in LaCl₃ solutions, the ion–ion correlation force can be evaluated quantitatively. These results provide important insight into the fundamental understanding in the role of ion–ion correlations in ion screening mechanism and interactions between charged objects.