We present the first spectroscopic study of the globular clusters ( GCs ) in the giant elliptical galaxy ( gE ) M86 in the Virgo cluster . Using spectra obtained in the Multi-Object Spectroscopy ( MOS ) mode of the Faint Object Camera and Spectrograph ( FOCAS ) on the Subaru telescope , we measure the radial velocities for 25 GCs in M86 . The mean velocity of the GCs is derived to be \overline { v _ { p } } = -354 ^ { +81 } _ { -79 } km s ^ { -1 } , which is different from the velocity of the M86 nucleus ( v _ { gal } = -234 \pm 41 km s ^ { -1 } ) . We estimate the velocity dispersion of the GCs , \sigma _ { p } = 292 ^ { +32 } _ { -32 } km s ^ { -1 } , and find a hint of rotation of the M86 GC system . A comparison of the observed velocity dispersion profiles of the GCs and stars with a prediction based on the stellar mass profile strongly suggests the existence of an extended dark matter halo in M86 . We also estimate the metallicities and ages for 16 and 8 GCs , respectively . The metallicities of M86 GCs are in the range -2.0 < [ Fe/H ] < -0.2 with a mean value of -1.13 \pm 0.47 . These GCs show a wide age distribution from 4 to 15 Gyr .