lay emphasis on (something)
To put particular emphasis on some topic, issue, or aspect. Our school is aiming to lay emphasis on individual styles of learning, rather than focusing on standardized tests and curriculum. Bring up the difficulties the project has faced, but make sure you lay emphasis on all the success you've had.
lay emphasis on something
and lay stress on somethingto place emphasis on something; to emphasize something. When you present this explanation, lay emphasis on the matter of personal responsibility. I'm afraid I laid too much stress on the notion of good attendance. If you are really sick, stay home!