Materials SNAFU

Hi!

I have a problem when assigning a material to a object. I use the standard blender 3d render engine. When I assign this material to some objects, something weird happens with the material. Ive also tried making a new material as the old one and assign it to the sexond object, but I get the same problem.

I have to example photos. The first object (bottom most) is exactly as wanted, but the second object gets really strange. Have tried putting in more lighting but did not work. What can be the problem?