My App Store doesn't work in my iPhone... Why?

Hi, Mari_MEL.

Thank you for visiting Apple Support Communities.

I understand that you are unable to connect to the App Store on your iPhone. Here is the troubleshooting article that I would go through when experiencing this issue.

Troubleshoot issues on an iPhone, iPad, or iPod touch

If you haven't been able to connect to the iTunes Store:

• Make sure your date, time, and time zone are correct in Settings > General > Date & Time.
  Note: Time Zone may list another city in your time zone.
• Make sure that your iOS software is up to date by tapping Settings > General > Software Update(iOS 5 or later) or connecting your iOS device to iTunes and clickingCheck for Update
  on your device's Summary page.
• Check and verify that you're in range of a Wi-Fi router or base station. If you're on a device with cellular service, make sure that cellular data is turned on from Settings > General > Cellular.
  Note: If connected to cellular data, larger items may not download. You may need to connect to Wi-Fi to download apps, videos, and podcasts.
• Make sure that you have an active Internet connection. You can check the user guidefor your device for help with connecting to the Internet.
• Make sure that other devices (portable computers, for example) are able to connect to the Wi-Fi network and access the Internet.
• Try resetting (turning off and then on again) your Wi-Fi router.
• If the issue persists, try troubleshooting your Wi-Fi networks and connections.

Can't connect to the iTunes Store

http://support.apple.com/en-us/HT201400

Cheers,

Jason H.