Here are several options you can try:
Export/import wizard: If you only want to copy tables and don’t want to bother with relationships and such this is probably the quickest way to do this.
Generate scripts wizard: Generate scripts for all tables you want to migrate. Right click on the database -> Tasks -> Generate scripts -> select only tables you want to migrate.
Also make sure that you manually review execution order of scripts because SSMS doesn’t order these correctly be default (doesn’t take dependencies into account)
Third party tools: There are many database comparison tools out there you can use for this such as Red-Gate’s SQL Compare, ApexSQL Diff and many others…. All of these are premium tools but you can get the job done in trial mode.