What you will need to make a game:

1. A Modeling Program

A modeling program/photo editing software.
-This you will use to make the 3D models(3D shapes) in which you will:
Model: Move vertices, edges, and faces around your screen to make cool shapes.
Texture: Paint yo shapes fool!
Rigg: Add bones, and make your pinnochio a real boy!
Animate: Add life to your characters with animation and movement.

I use a FREE open source program called Blender which you can download from the Blender website.
There are Many other 3D apps available such as:
MAYA
3dsMAX
MODO
Cinema4D
Zbrush(3Dsculpting)
Sculptris(3D sculpting)(FREE)

2. A game engine

A game engine is what brings all your 3D models, textures(images), animations, and code(used to give the game functionality) together.

A game engine is what you will

A game engine will be were your game is put together; It’s the garage with all the tools in it(Metaphor). It will be used to develop and package your finished game.

The game engine of my choice is Unity3D because it is free and has a large and growing community, and it also can deploy games on almost any platform you can ever imagine.

You may also try UDK (Unreal Dev Kit).

3. An open mind

The world is yours, create something that will be remembered.

4. A community

I recommend you find a community of people to express your art, creativity, thoughts, and ideas to so you don’t get bored and lonely. PLUS once you start getting noticed in your community of choice, you have “fans” which will help you promote and market your end product. Thanks guiz.

Google + offers a nice community
Blenderartist
CGhub
Cgcookie
-but don’t get too distracted. Actually fighting with the software is the best way to learn.