Which range has Mount Hermon as its highest point?

The range whose highest point is Mount Hermon is the Anti-Lebanon Mountains.

Mount Hermon forms the southern end of the Anti-Lebanon mountain range, which runs roughly parallel to Lebanon’s main mountain range. The mountain is a cluster with several summits; its highest elevation is about 2,814 metres. The summit area lies near the borders of Syria and Lebanon, with the southern slopes extending into the Israeli-occupied Golan Heights.

The Anti-Lebanon range stretches for approximately 150 kilometres in a northeast–southwest direction. Its name reflects its position opposite the Lebanon Mountains, not a separate political territory. That distinction matters because the Golan Heights is a plateau and geopolitical region, rather than the mountain range named in the question.

Mount Hermon is important beyond its elevation. Heavy winter snowfall feeds springs and streams in an otherwise dry region, and its slopes include a ski resort on the Israeli-controlled side. A United Nations position near the summit is also among the world’s highest permanently manned UN posts.