Abstract Employing the heavy quark expansion model with the kinetic scheme, we evaluate αS(mc 2), the strong coupling constant at the charm quark mass mc with data on inclusive semileptonic decays of charmed mesons. Using the experimental values of semileptonic decay widths of the D0 and the D+, the value of αS(mc 2) is determined to be 0.445±0.009±0.114, where the first uncertainty is experimental and the second systematic. This reported αS(mc 2) is in good agreement with the value of αS(mc 2) calculated by running αS(mZ 2) at the Z0 boson mass mZ with the renormalization group evolution equation. In addition, values of αS(mc 2) obtained individually from each of the D0, D+, and D+ s mesons are found to be consistent being of the same origin.Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.