Well, it's a little unclear whether your difficulty fretting the strings comes from the amount of finger strength required to apply pressure, or if the problem lies in the coordination and stretching associated with forming chord shapes.
In either case, I have a few ideas you might consider.
First, if your problem has to do with the finger-strength issue, this is common when beginning guitar and almost everybody goes through it. There are various finger-exercising implements available--even some that are specific to guitar-related hand movements. Investing in these and using them regularly, as well as practicing as often as possible, will strengthen your hands like you never thought possible. It just takes time and tenacity.
Another thing you could try if finger strength is the problem is switching to a lighter gauge of strings. Many beginners fail to realize the variety of sizes that are available to them, and just stick with whatever size came on their instrument. You can always go to thinner strings. Go to an instrument store and tell them you're looking for .08s or .09s (for an electric guitar) or .09s or .10s (on an acoustic). These are VERY light strings, and will be much easier to fret.
If, on the other hand, finger coordination/hand mobility is the source of your issue, I would suggest that you tune your guitar differently. Standard tuning (EADGBe) is called "standard" for a reason, but that doesn't mean you don't have other options. Open E, G, or A tunings allow you to play major chords just strumming across the strings without fretting any notes--and if you can bar (or simultaneously fret all six strings) across one fret, you're playing another major chord!
For example, if you're tuned to Open E (E-B-E-G♯-B-e), strumming the open strings plays an E major chord. Holding down all the strings at the 5th fret produces an A major chord, and doing the same at the 7th fret will result in a B major chord. Strum these three chords in various combinations, and you can play a pretty fair number of songs right away.
I hope this information helps! Good luck, and keep us posted!