Learn Your First Three Chords
Now that you have an idea of how to position your ‘ukulele and hands, you can go about learning some of the basic chords. With these chords you will be able to play your first songs! Start with “C”, “F”, and “G7”.
Hold C with your 3rd finger on the 3rd fret. Hold F with your index finger on the 1st fret, 2nd string up and your middle finger on the 2nd fret of the top string. Hold G7 with your index on the first fret, 2nd string, your middle finger on the 2nd fret, 3rd string, your ring finger on the 2nd fret, bottom string.
Remember, thumb on the back of the neck, fingers parallel to the frets, and use the tips of your fingers to hold chord notes. As a general rule, use your index finger to hold 1st fret notes, middle for 2nd fret, 3rd for 3rd fret, etc… That works great for the first two chords, but G7 needs two fingers on the same fret. This is an exception to the rule. You should play G7 with your 1st finger on the 1st fret, 2nd string (E), 2nd finger on the 2nd fret, 3rd string (C), and 3rd finger, 2nd fret, 1st string (A). To fit your fingers in, it helps to turn your wrist up towards the headstock.
(Resources from the web)