Resolution:
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I have created a bridge between a queue template to one single queue. For example I created a bridge between "Q.sample.>" to "Q.sample.copy".
When I send messages to Q.sample.1 and Q.smaple.2, all message are copied to the same destination bridge Q.sample.copy. This works well.
When reading messages from Q.smaple.copy, how can I get the name of the queue from which the message have been copied ?
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Based on the message received, you won't be able to tell whether the message was first sent to a source queue or directly to the destination queue.

You can try to enable message trace for the target destination.  When the message is bridged to the target destination, you will see the following message trace in the server log:

=================
2009-04-23 12:43:50.195 [MSG:122] bridged from queue='Q.sample.2',MSG=0: connID=11 p
rodID=8 msgID='ID:EMS-SERVER.17E449F0B61A1:79' Time=1240515830195  mode=PERSISTE
NT queue='Q.sample.copy' msg=TextMessage={Header={ JMSDestination={QUEUE:'queue.sample.copy'
} JMSDeliveryMode={PERSISTENT} JMSPriority={4} JMSMessageID={ID:EMS-SERVER.17E44
9F0B61A1:79} JMSTimestamp={1240515830195}} Body={string:'7'}

2009-04-23 12:43:54.788 [MSG:140] bridged from queue='Q.sample.1',MSG=0: connID=12 p
rodID=9 msgID='ID:EMS-SERVER.17E449F0B61A1:8B' Time=1240515834788  mode=PERSISTE
NT queue='Q.sample.copy' msg=TextMessage={Header={ JMSDestination={QUEUE:'Q.sample.copy'
} JMSDeliveryMode={PERSISTENT} JMSPriority={4} JMSMessageID={ID:EMS-SERVER.17E44
9F0B61A1:8B} JMSTimestamp={1240515834788}} Body={string:'3'}
=================

How can I get original destination name when using destination bridge?