Q: hi wy i can't have the apps icon on my ipod i try many times ????

You have a 1G iPod. For apps you need iOS 2 or later. The 1G iPod can only go as high as iOS 3.1.3. There are not that many apps that still work with 3.1.3

To update

Purchasing iOS 3.1 Software Update for iPod touch (1st generation)       

https://buy.itunes.apple.com/WebObjects/MZFinance.woa/wa/touchLegacyLandingPage

See the following to make it easier to find compatible aps

VintApps 3.1.3 for iPhone, iPod touch, and iPad on the iTunes App Store

apps for ios 4.2.1: Apple Support Communities

Finding iOS 4.2.1 Apps Compatible with Older Devices - Apple Club

HT4972 Touch Game 4.2.1 Apps: Apple Support Communities

apps for 4.2.1 (also works for 3.1.3)

Tip - Finding 4.2.1 apps that work on an...: Apple Support Communities