Jynx can be obtained from an in game trade you must acquire a Poliwhirl which you can train a Poliwag or fish one using the Super rod in Viridian city either way will work. Go to Cerulean City and enter the house to the left of the pokemon center then speak to the old man say YES to his question then press A on Poliwhirl you will recieve Jynx.
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in a house in cerulean for a jynx
At the town where the gym misty is at. There is a man and hey will give you a jynx for a poliwhirl
Go to Cerulean City, and go to the house next to the Pokemon Center. Talk to the old man and he will trade his Jynx for your Poliwirl. *Your Jynx will be the same level as your Poliwirl.
You must get a Poliwhirl first and trade it with a guy in Cerulean City. He will give you a Jynx (renamed Zynx) at the level your Poliwhirl was before you traded it.
go to the second village and walk into the hospital... take 2 rights then 2 lefts and walk out....then walk into the grass and jynx will be there