How secure are my files on Dropbox and can they be accessed by the employees?

Thanks for your post, alee007. 

Rest assured that Dropbox employees can’t access your files or see their contents. 

As for your security concern, you can see more details here and here on how Dropbox keeps your files secure.

Let me know if I can be of more help, though.

Does dropbox team physically look into content in the account? What is the surety that my content is secure ?

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Maqali wrote:
Does dropbox team physically look into content in the account? What is the surety that my content is secure ?

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You can find that information in the Privacy Policy and Terms.

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Nancy wrote:

Rest assured that Dropbox employees can’t access your files or see their contents. 

That is technically not correct. Dropbox can access your files if they need to (for example for legal reasons) as per this help article. 

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Maqali wrote:
If an account is disabled, the content is removed or it stays there?

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If removed by Dropbox data would be removed if there was no legal reasons to keep it (for example law enforcement action).

Have a look at this article. 

They have access to users data, as does most cloud providers if we are honest where required to by law (i.e. if a court orders it).