Based on a tight-binding disordered model describing a single electron band, we establish a model of electronic transport in one-dimensional binary disordered systems with off-diagonal correlations, and derive the dc conductance formula. By calculating the dc conductivity, the function of disorder and off-diagonal correlations in electronic transport are analyzed, and the relationships between electric field and conductivity and between temperature and conductivity are studied. The results indicate that the conductivity of the systems decreases with the increase of the degree of lattices energy disorder, and off-diagonal correlations lead to delocalization and enhance the electrical conductivity of system. The model also quantitatively explains the temperature and electric field dependence of the conductivity of systems, that is, the dc conductivity of the systems increases with the increasing of temperature and electric field.