Under specific circumstances, organized columnar phases can be formed from the planar discoid shapes of the molecules that make up discotic liquid crystals. These materials offer unusual features because of their distinct columnar phase structure. They are utilized in organic semiconductors, liquid crystal magnetic materials, and photoelectric conversion. It has numerous applications, so researchers are paying more and more attention to it. In this paper, the effects of alkynyl groups on the properties of discotic liquid crystals at various positions are emphatically discussed. The main focus is on the alkynyl-containing discotic liquid crystal molecules and their properties reported in domestic and foreign literature in the past ten years.