[en] Bose-Einstein correlations of charged and neutral kaons have been measured in e^±p deep inelastic scattering with an integrated luminosity of 121 pb^-1 using the ZEUS detector at HERA. The two-particle correlation function was studied as a function of the four-momentum difference of the kaon pairs, Q₁₂=√(-(p₁-p₂)²), assuming a Gaussian shape for the particle source. The values of the radius of the production volume, r, and of the correlation strength, λ, were obtained for both neutral and charged kaons. The radii for charged and neutral kaons are similar and are consistent with those obtained at LEP. (orig.)