Most Popular
If you want to use the most popular Nidalee Jungle build, you should take Flash and Smite as your Summoner Spells. For runes, you should pick Dark Harvest as your keystone, followed by Sudden Impact, Eyeball Collection and Treasure Hunter in the primary tree, as well as Transcendence and Waterwalking in the secondary tree. For rune shards, you want Attack Speed in offense, Adaptive Force in flex and Health Scaling in defense, though it depends on the matchup. Finally, for your items, you should build Lich Bane as your first item, followed by Sorcerer's Shoes and Shadowflame. For your last 3 items, you should build Zhonya's Hourglass, Void Staff and finish with Rabadon's Deathcap. For the skill order, you want to stick with Q - E - W. Right now, this build has 53.2% winrate over 511 matches played.
Optional
Your second option for Nidalee Jungle build would be to take Flash and Smite as your Summoner Spells. The runes that this build takes advantage of are Conqueror as your keystone, Triumph, Legend: Haste and Coup de Grace in the primary tree, and Transcendence with Waterwalking in the secondary tree. The shards used in this build are Attack Speed in offense, Adaptive Force in flex and Health Scaling in defense. The items for the build are Lich Bane, which you should build first, followed by Sorcerer's Shoes as your second item and Liandry's Torment as your third item. The rest of the items in order are Zhonya's Hourglass, Rabadon's Deathcap and Banshee's Veil. The skill order for this build is Q - E - W. In the current patch, this build has a 52.9% win rate over 446 matches.
Alternative
If you're looking for alternatives, you can use Flash and Smite as your Summoner Spells, with runes being Conqueror as your keystone, Triumph, Legend: Haste and Coup de Grace in the primary tree, and Transcendence with Waterwalking in the secondary tree, as well as Attack Speed, Adaptive Force, and Health Scaling as your rune shards. The items that this build incorporates are Liandry's Torment as your first item, then Sorcerer's Shoes as a second item and Zhonya's Hourglass as a third item. You want to finish the build with Horizon Focus, Void Staff and Ardent Censer. As far as ability max order goes, you want to keep it Q - E - W. This build is currently sitting at a 47.5% win rate across 284 matches played.
Off-Meta
If you want to try an Off-Meta Nidalee Jungle build in the current patch, try Flash and Smite as your Summoner Spells, Dark Harvest, Sudden Impact, Eyeball Collection and Treasure Hunter as your primary rune tree, and Transcendence with Waterwalking as your secondary tree. Use Attack Speed, Adaptive Force and Health Scaling as your shards. For items in this build, you want to complete Stormsurge as your first item, then finish Sorcerer's Shoes as your second item, and Lich Bane as third item. The last 3 options are Shadowflame, Rabadon's Deathcap and Void Staff. The ability order for this build is Q - E - W. As of the current patch, this build has a 61.8% win rate over 102 matches played.
Situational Nidalee 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 Nidalee 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 Nidalee runes page.