Silverlight API question

[SasoNikolovski]

Can you please somebody let me know how to conect my local map in Silverlight?

[AliMirzabeigi]

You need to publish your local map as a map service; here you can find the steps to publish a map service using ArcGIS Server Manager:
http://help.arcgis.com/en/arcgisserver/10.0/help/arcgis_server_dotnet_help/index.html#/Tutorial_Publ...
Then, you can use any of the samples in http://help.arcgis.com/en/webapi/silverlight/samples/start.htm in the Mapping section and replace the URL property with the map service on your local machine.