Fulltext stoplist replication In MS SQL Server 2008 R2 there is replication of table with fulltext index on it.
But stoplist that is associated with replicated fulltext index doesn't replicate.

Is there any possibility to replicate stoplist also?
stoplist can't be replicated but there is one ugly way to do it. Words in Stop lists are stored in sys.fulltext_stopwords . Using linked server you can query this table and compare it on secondary server . If there are any changes then run alter command on secondary to add\remove those changes from stoplist.

ALTER FULLTEXT STOPLIST YourStopLIstName ADD 'en' LANGUAGE 'Spanish';

Can be setup as recurring job. Not a decent method but should work fine.