Yes, if all goes well the Internet is secure. Internet security is needed for online banking, stock trading and other high value transactions over the Web and to keep very personal information private. Virtually every business and government agency also uses the Internet, often to view highly confidential and valuable information. If the Internet were not secure, that would never have happened. But things don't always go well, and you must take responsibility for educating yourself on how to stay safe online.
For further information, you can visit http://www.staysafeonline.org/ or http://getnetwise.org/. See, If the Internet is secure, why are there Internet security problems?