Energy levels and transition rates for electric-dipole, electric-quadrupole, electric-octupole, magnetic-dipole, and magneticquadrupole transitions among the levels arising from the n ≤ 5 configurations in B-like Kr XXXII are calculated by using two state-of-the-art methods, namely, the multi-configuration Dirac-Hartree-Fock (MCDHF) approach and the second-order many-body perturbation theory (RMBPT). Our results are compared with several available experimental and other theoretical values. Electron-impact excitation (EIE) collision strengths are calculated via the independent process and isolated resonance approximation using distorted-wave (denoted by IPIRDW). Radiation damping effects on the resonance excitation contributions are included. Effective collision strengths are calculated as a function of electron temperature by assuming a Maxwellian electron velocity distribution. Spectral line intensities are modeled by using collision radiative model, and several line pairs pointed out might be useful for density diagnostics.It is well known that atomic spectroscopy of highly-charged ions is of particular interest for plasma control and plasma diagnostics on chemical composition, electron density and temperature, and electric and magnetic fields. Krypton, as a rare gas, has been widely used in diagnosing tokamak fusion plasmas [1-3], since it does not pollute the vacuum vessel and is easily introduced into the plasmas. Furthermore, due to its almost ideal ionization balance and ease of injection, krypton has been the prime candidate for core Doppler spectroscopy on ITER [4][5][6]. Atomic data (including energy levels, transition rates, collision strengths, etc.) are required for many krypton ions. Recently, we reported accurate level energies, transition parameters and lifetimes for Kr XXIV [7], Kr XXV [8] and Kr XXVII -Kr XXXI [9-13], using both the RMBPT approach and MCDHF method. This work reports our efforts for B-like Kr XXXII.The experimental studies on B-like Kr were very limited [1,2,[14][15][16][17], and only 11 n = 2 levels have been compiled by the Atomic Spectra Database (ASD) of the National Institute of Standards and Technology (NIST) [18]. Most of the existing theoretical calculations were confined to the n = 2 and n = 3 configurations [19-28]. Of particular note was the work presented by Aggarwal et al. [26], in which the Flexible Atomic Code (FAC) [29] and GRASP0 package [30] have been adopted to obtain level energies, lifetimes, wavelengths and transition rates for transitions among the lowest 125 levels of the n ≤ 3 configurations. In addition, Aggarwal et al. [31] also adopted the fully relativistic Dirac Atomic R-matrix Code (DARC) of Norrington and Grant to calculate collision strengths and effective collision strengths. Recently, Liang et al. [32] adopted Thomas-Femi-Dirac-Amaldi model potential from AUTOSTRUCTURE (AS) [33] to calculate the energy levels, line strengths and lifetimes for the 204 n ≤ 4 energy levels of several B-like ions including Kr XXXII. Meanwhile, Liang et al. [32] perf...