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We present our follow-up observations to search for an electromagneticcounterpart of the IceCube high-energy neutrino, IceCube-170922A. Monitoringobservations of a likely counterpart, TXS 0506+056, are also described. First,we quickly took optical and near-infrared images of 7 flat-spectrum radiosources within the IceCube error region right after the neutrino detection andfound a rapid flux decline of TXS 0506+056 in Kanata/HONIR J-band data.Motivated by this discovery, intensive follow-up observations of TXS 0506+056are continuously done, including our monitoring imaging observations,spectroscopic observations, and polarimetric observations in optical andnear-infrared wavelengths. TXS 0506+056 shows a large amplitude (~1.0 mag)variability in a time scale of several days or longer, although no significantvariability is detected in a time scale of a day or shorter. TXS 0506+056 alsoshows a bluer-when-brighter trend in optical and near-infrared wavelengths.Structure functions of variabilities are examined and indicate that TXS0506+056 is not a special blazar in terms of optical variability. Polarizationmeasurement results of TXS 0506+056 are also discussed.

Follow-up Observations for IceCube-170922A: Detection of Rapid Near-Infrared Variability and Intensive Monitoring of TXS 0506+056