[en] Conversion electron and gamma ray measurements with electrostatic and Si(Li), spectrometers, respectively, revealed the existence of the 7697±4 eV E1 nuclear transition in ¹⁵⁸Ho with the M2 admixture less than 1x10^-6. The full intensity of the transition was determined to be almost 100% per decay. Existence of the 7.7 keV transition in ¹⁵⁸Ho solves the problem of the 'anomalously fast' first-forbidden EC, β⁺ transition in ¹⁵⁸Er decay and introduces substantial changes into the accepted decay scheme of ¹⁵⁸Er. Energies of the 24.4(2) and 71.95(5) keV transitions in ¹⁵⁸Ho were also improved to 24 395±6 and 71 904±4 eV, respectively. For the 11.4(1) keV M1 transition in ¹⁶¹Ho, we improved the transition energy as 11 282±5 eV and determined the E2 admixture to be less than 0.6%. (author)