The Herpes simplex virus (HSV) causes a wide range of diseases, ranging from relatively mild primary skin lesions to severe and often fatal episodes of encephalitis. Currently, the most effective drugs for HSV-infected people are nucleoside analogs (e.g., acyclovir) targeting enzymes encoded by viral DNA. The effectiveness of nucleoside analogs is reduced because of poor solubility in water, rapid intracellular catabolism, high cellular toxicity, and the appearance of resistant viral strains. Antisense technology that exploits nucleic acid fragments (NA-based agents) is a promising alternative to antiviral therapy due to the high affinity of these agents to target nucleic acids, their high solubility in water, and lower cellular toxicity. In the last decade, antisense oligonucleotides have been investigated as potential drugs for various diseases associated with “harmful” nucleic acids. Oligonucleotides with different chemical modifications targeted at specific regions of the HSV genome have shown effectiveness in suppressing the virus. siRNA-based agents have demonstrated prolonged and effective (up to 99%) inhibition of HSV replication. Based on the publications reviewed in the review over the past 30 years, it can be concluded about the prospects of using NA-based agents to combat herpes viral infections.