Multi-reference configuration interaction is used to produce potential energy curves (PECs) for the excited B 1 Π state of KH molecule. To investigate the correlation effect of core-valence electrons, five schemes are employed which include the different correlated electrons and different active spaces. The PECs are fitted into analytical potential energy functions (APEFs). The spectroscopic parameters, ro-vibrational levels, and transition frequencies are determined based on the APEFs and compared with available experimental and theoretical data. The molecular properties for B 1 Π obtained in this letter, which are better than those available in literature, can be reproduced with calculations using the suitable correlated electrons and active space of orbitals.OCIS . Jeung et al. proposed the perturbative treatment of core-valence correlation effects. Results show that the valence correlation slightly diminishes the core-valence correlation which plays a very important role in the spectroscopy of KH for the ground state [5] . To test the iterative difference dedicated configuration interaction method, García et al. calculated the three lowest Σ + potential curves of KH at the level of CAS-MP2 and obtained the spectroscopic parameters within 0.1 eV which differs with the experimental values [6] . Lee et al. calculated the 1 Σ + and 3 Σ + states of KH which were dissociated into the 4s-6p states of K at the level of the configuration interactions and found that most of states show the undulating potential curves [7] . Khelifi et al. performed ab initio adiabatic and diabatic studies of the KH molecular for all the states below the ionic limit [i.e., K(4s, 4p, 5s, 3d, 5p, 4d, 6s, and 4f)+H(1s)] in 1 Σ + and 3 Σ + symmetries at the level of full valence CI approaches [8] . They presented the spectroscopic constants for the states and obtained seven vibrational levels of B 1 Π. In contrast to the intense interest in Σ + states, relatively minimal attention has been accorded on B 1 Π state. Recently, Lee et al. observed the B 1 Π excited state for the first time [9] and obtained several ro-vibrational levels and spectroscopic constants which could be used as a reference standard for theoretical calculation. The theoretical results in literature clearly deviate from the new experimental values. This implies that there is still space to perform high-level calculations for the state. Thus, in this letter, PECs for the B 1 Π state are calculated using multi-reference configuration-interaction method (MRCI) [10,11] and large basis set. The large active space effect of core-valence correlation is emphasized. The PECs are fitted to the analytical potential energy functions (APEFs) for further analysis. The quality of the APEFs is evaluated by comparing the vibrational levels and the spectroscopic properties determined based on them with the available experimental values.The PECs of B 1 Π of KH are calculated with the internal contracted MRCI method. This is preceded by multiconfiguration self-consistent-field calculations [...