In the design website, such as Chitu.com, intu, etc., download the pattern flower material, will be designed for the packaging box printing pattern so that cause infringement?

You didn't say very specific, but if it is someone else's design pattern or photos and so on you without the consent of the copyright holder to use privately, generally will constitute infringement

China of course, there are copyright regulations, what you said should be about the copyright. Other people's drawings and designs, natural photographs and so on belong to the copyright of the person concerned.