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We find evidence that the mass  M  BH  of central supermassive black holes (SMBHs) correlates with the velocity dispersion σ GC  of globular cluster systems of their host galaxies. This extends the well‐known  M  BH –σ sph  relation between black hole mass and velocity dispersion of the host spheroidal component. We compile published measurements of both  M  BH  and σ GC  for a sample of 13 systems and find the relation log ( M  BH ) =α+βlog (σ GC /200), with α= 8.63 ± 0.09 and β= 3.76 ± 0.52. We also consider blue (metal‐poor) and red (metal‐rich) globular cluster subpopulations separately and obtain a surprisingly tight correlation using only the velocity dispersion  of the red clusters with α= 8.73 ± 0.09 and β= 3.84 ± 0.52 and an intrinsic scatter ɛ 0 = 0.22 dex compared to ɛ 0 = 0.27 dex for the  M  BH –σ sph  relation of our sample. We use this  M  BH – relation to estimate the central black hole mass in five galaxies for which  is measured.

–σ relation between supermassive black holes and the velocity dispersion of globular cluster systems