There are a variety of synonyms for the phrase "lay stress on," which means to emphasize or highlight a particular point. Some common alternatives include "emphasize," "underscore," "highlight," "accentuate," "draw attention to," "spotlight," "focalize," and "foreground." Each of these words carries a slightly different connotation and can be used to vary the tone or emphasis of a statement. For instance, "spotlight" might be used to draw attention to a particularly important aspect of a subject, while "accentuate" might be used to emphasize the uniqueness or distinctiveness of something. Whatever word you choose, laying stress on important information can help ensure that it is understood and remembered.