From neutron diffraction measurements on a quasi-1D Ising-like Co$^{rm 2+}$ spin compound BaCo$_{rm 2}$V$_{rm 2}$O$_{rm 8}$, we observed an appearance of a novel type of incommensurate ordering in magnetic fields. This ordering is essentially different from the N{ e}el-type ordering, which is expected for the classical system, and is caused by quantum fluctuation inherent in the quantum spin chain. A Tomonaga-Luttinger liquid (TLL) nature characteristic of the gapless quantum 1D system is responsible for the realization of the incommensurate ordering.
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