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The recent Advanced LIGO detections of coalescing black hole binaries (BHBs)imply a large population of such systems emitting at milli-Hz frequencies,accessible to the Laser Interferometer Space Antenna (LISA). We show that thesesystems provide a new class of cosmological standard sirens. Direct LISAluminosity distance -$D_l$- measurements, combined with the inhomogeneousredshift -$z$- distribution of possible host galaxies provide an effective wayto populate the $D_l-z$ diagram at $z<0.1$, thus allowing a precise localmeasurement of the Hubble expansion rate. To be effective, the method requiresa sufficiently precise LISA distance determination and sky localization of asizeable number of BHBs, which is best achieved for a 6-link detectorconfiguration. We find that, for a BHB population consistent with currentfiducial LIGO rates, the Hubble constant $H_0$ can be determined at the$\sim$5% and $\sim$2% level (68% confidence) assuming two and five million Kmarm-length respectively.

Stellar binary black holes in the LISA band: a new class of standard sirens