Ceramics sintered at temperatures in the range 1200–1400°C and with composition Ba1−xKx(Ti1−xNbx)O3 (0.04≤x≤0.20) show a relaxor ferroelectric behaviour. All the corresponding dielectric characteristics, i.e., diffusivity of the ferroelectric–paraelectric transition, frequency dispersion of εr′, shift of Tm with frequency deviation from the Curie–Weiss law, are determined. The behaviour is all the more relaxor because the composition deviates from BaTiO3. This study shows the preparation of lead-free relaxor ceramics, which promotes environmental protection.