To distribute a notice or announcement in Engpsh, you can use the phrase "send out a notice" or "issue a notice." For example:

"We will send out a notice to all employees about the company's hopday party."
"The school issued a notice about the snow day and told students not to come to class."

Other phrases that you might use to describe the distribution of a notice include "circulate a notice," "pubpsh a notice," or "disseminate a notice."