Non-steroidal anti-inflammatory drugs (NSAIDs) are commonly administered according to protocol for the management of complications such as pain, swelling, and trismus following the removal of the third impacted lower molar; however, treatment with NSAIDs may result in multiple adverse effects. The aim of this study was to compare the effectiveness of kinesio taping (KT) and the use of NSAIDs in the treatment of postoperative complications after extraction of an impacted third lower molar. Material and methods: The study comprised a group of 30 patients, randomly divided into the test group (with KT, n = 15) or the control group (without KT, n = 15). The surgery was performed according to standard procedures. In the test group, KT was applied immediately after surgery. Pain, swelling, and trismus were assessed. The VAS scale was used to assess pain. Swelling was measured based on six reference points on the face using a tailor’s meter, and a caliper was used to measure the distance between the upper and lower medial incisors of the upper and lower teeth to determine the extent of trismus. Measurements were performed three times: on the day of the surgery, on the second day following the surgery, and on the 7th day after the surgery. Results: Pain intensity (day of procedures), maximum mouth opening (on the seventh day after the surgery), and the use of NSAIDs (day of surgery) were significantly lower (p < 0.05) in the test group than in the control group. Conclusions: Kinesio taping in addition to NSAIDs was found to be more effective than NSAIDs alone in increasing the degree of jaw opening, decreasing pain intensity, and reducing the non-steroid anti-inflammatory dosage in patients after impacted mandibular wisdom teeth surgery.