Both forms are correct and common. Jan even gave additional ones which you can use also.
It is a matter of style, emphasis and readableness. Some forms are quite easy to read and understand, other sound a bit uncommon.
Your first form emphasizes that it is about the newspaper from the 10th of June.
This could imply there might have been other articles about the theme, but it is about this one.
The second one points out that the news were about environmental protection. This could imply that it is the first news about it, you have read or which was in their newspaper, and that the date merely is for reference.