Udyr Runes explained
There's one set of runes for Udyr on patch 15.4 that is the clear favorite for LoL players and pros alike. The best Udyr rune paths on the position 
Top are 
Resolve as the primary path and Sorcery as the secondary path with a pick rate of 60%. Besides picking runes on Udyr you should learn how to play Udyr and if you are interested in pro matches take a look on how a pro builds Udyr. If you want to discuss 
Udyr then you should visit the champion subreddit.
Udyr runes from primary path
Resolve empowers the survivability of Udyr and increases the tankiness. Most of high elo players – and our LoL pros in the the major regions – have agreed that Grasp of the Undying is the best keystone rune to run on Udyr. This keystone rune gives Udyr alot of sustain and helps to force your opposing champion out of the lane. Other primary runes on Udyr are Shield Bash, Second Wind and Revitalize.
Shield Bash powers up your tankiness and empowers your next basic attack while you have a shield. Second Wind powers up your sustainablity in lane by healing after taking damage from an enemy champion. Revitalize inceases heals and shields you distribute or receive.
Udyr runes from secondary path
When it comes to your secondary path, most Udyr players prefer to go with Sorcery. Sorcery empoweres abilities of Udyr and increases the available champion resources. On the Sorcery path, the best runes for Udyr are Axiom Arcanist and Transcendence.
Axiom Arcanist grants you a shield, as soon as Udyr gets hurt by alot of magic damage. This rune will help you alot to survive against ability power champions with a lot of burst damage. Transcendence for some more Ability Haste.
FAQ for Udyr Runes
Which is the best keystone rune on Udyr?
The best keystone rune on Udyr is Grasp of the Undying. This Udyr runes setup is then referred as Udyr Grasp of the Undying.
What runes does Udyr use?
Runes from the paths Resolve and Sorcery are the most used runes on Udyr. For the exact pick rates of Udyr runes used, you have to study the rune distribution presented.