First try this:

a) First, verify that Flash Player is installed and working on your system.

       Check the Flash Player Version Detection page, here (the link is case-sensitive):  http://adobe.ly/wRILS 

b) If you see the box with version information, you have successfully installed Flash Player and will be able to view Flash content via the Android browser. 

c) If you see a “Get Flash Player” icon instead of the version information, confirm that both Browser Plug-Ins and JavaScript are enabled on your device:

       Open the Browser

       Hit the Menu Button

       Confirm that Enable Javascript is checked

       Choose Settings > Enable Plug-Ins and make sure that it's set to Always On

   If the settings above did not match, this probably fixed the problem. 

   Please visit the Flash Player Version Detection Page (http://adobe.ly/wRILS ) again.

       If you see the version information now, you're done!  Congratulations.

d) If not, it sounds like the installation did not work correctly. 

       First uninstall Flash Player by doing the following:

       Go to Settings > Applications > Manage Applications > Adobe Flash Player

       Hit Uninstall (or Uninstall Updates) and follow the prompts

       Restart your phone.  This will make sure that anything that might be keeping the Flash Player binary locked is no longer running.

       Once the phone comes back up, open the Market and search for "Flash Player".  Follow the installation prompts.

       Please repeat the steps to confirm that JavaScript and Plug-Ins are enabled, and then check the version detection page.

If that doesn't solve your problem, please provide the following information:

(From Settings > About Phone/Tablet)

Model:

Android Version:

Kernel Version:

Build:

Unfortunately, your device does not meet the minimum system requirements for Flash Player on Android.

Flash Player requires a CPU with support for the ARMv7-A instruction set to achieve the level of performance required for acceptable multimedia playback.  If you want to run Flash natively on your device, you'll need to upgrade to more capable hardware.

Your device has an ARM11 CPU, which only supports the ARMv6 instruction set.

For future reference, Adobe maintains a list of devices certified to work with Adobe Flash Player and AIR here:

http://www.adobe.com/flashplatform/certified_devices/

You might want to give Skyfire a try.  It uses "remote desktop" technology to render Flash animation and video in the cloud, for devices that are incapable of processing Flash content natively:

https://market.android.com/details?id=com.skyfire.browser&feature=sear ch_result