In this study we mainly report on the magnetic and thermoelectric power properties of the Ce1-xLaxCu4In compounds. XRD results confirm the orthorhombic-CeCu4: 38In1: 62 type structure for all compositions, as well as Vegard’s rule. Resistivity ρ(T) results show an evolution from coherent Kondo scattering to incoherent single-ion Kondo scattering, with increased La content x. The magnetic susceptibility, χ(T) data indicate paramagnetic behaviour and follow the Curie–Weiss law with effective magnetic moment μeff values across the series close to the value of 2.54μB expected for the free Ce3+-ion. No evidence of metamagnetic transition was observed from the magnetization results, M(μ0H). For selected representatives of the studied series, thermoelectric power S(T) exhibits a positive maximum, which reaches up to 64.5 µV.K−1 for the parent CeCu4In. This maximum of S(T) decreases from 64.5 µV.K−1 to 44.1 µV.K−1 upon 40% La concentration. Similarly, the thermoelectric power factor PF(T) reached a maximum of 32.6 µW.cm.K−1 for the parent CeCu4In and decreases with increase in La content x.