Most Popular
If you want to use the most popular Volibear Support build, you should take Flash and Ignite as your Summoner Spells. For runes, you should pick Press the Attack as your keystone, followed by Presence of Mind, Legend: Haste and Last Stand in the primary tree, as well as Triple Tonic and Jack Of All Trades in the secondary tree. For rune shards, you want Attack Speed in offense, Adaptive Force in flex and Health in defense, though it depends on the matchup. Finally, for your items, you should build Celestial Opposition as your first item, followed by Plated Steelcaps and Rod of Ages. For your last 3 items, you should build Navori Flickerblade, Spirit Visage and finish with Thornmail. For the skill order, you want to stick with W - Q - E. Right now, this build has 42.8% winrate over 355 matches played.
Alternative
If you're looking for alternatives, you can use Flash and Ignite as your Summoner Spells, with runes being Press the Attack as your keystone, Presence of Mind, Legend: Haste and Last Stand in the primary tree, and Jack Of All Trades with Triple Tonic in the secondary tree, as well as Attack Speed, Adaptive Force, and Health as your rune shards. The items that this build incorporates are Bloodsong as your first item, then Ionian Boots of Lucidity as a second item and Rod of Ages as a third item. You want to finish the build with Navori Flickerblade, Spirit Visage and Thornmail. As far as ability max order goes, you want to keep it W - Q - E. This build is currently sitting at a 47.7% win rate across 260 matches played.
Off-Meta
If you want to try an Off-Meta Volibear Support build in the current patch, try Flash and Ignite as your Summoner Spells, Grasp of the Undying, Shield Bash, Second Wind and Revitalize as your primary rune tree, and Legend: Haste with Presence of Mind as your secondary tree. Use Attack Speed, Adaptive Force and Health Scaling as your shards. For items in this build, you want to complete Solstice Sleigh as your first item, then finish Plated Steelcaps as your second item, and Rod of Ages as third item. The last 3 options are Thornmail, Spirit Visage and Dead Man's Plate. The ability order for this build is W - Q - E. As of the current patch, this build has a 49.0% win rate over 247 matches played.
Situational Volibear Runes and Items
Depending on the context of your game, your matchup, and enemy champions, you might want to consider building some situational items or take specific runes. Carefully examine your team, enemy team, game state , and your matchup to plan your Volibear build accordingly! For example, when it comes to rune shards, you might want to take either Armor or Magic Resist, depending on which champion you are about to lane against.
Furthermore, if you want a more detailed breakdown, you should also check out Volibear runes page.