We are excited to announce that transactional replication to Azure SQL Database is now generally available (GA). This feature allows you to migrate your on-premises SQL Server databases to Azure SQL Databases with minimal downtime.
You can configure your on-premises SQL Server databases that you wish to migrate as publisher and configure your Azure SQL Database as push subscriber to the SQL Server instance. The transactional replication distributor synchronizes data from the publisher to the subscriber. All changes to your data and schema will show up in your Azure SQL Database. Once the synchronization is completed, and you are ready to migrate, change the connection string of your applications to point them to your Azure SQL Database.
Read all about it in the Azure blog.