At the University of Oregon, the 77-year Tibetan spiritual leader shamed the 20th century for millions of deaths during wars, but added that he held out hope for the 21st century.
"You have real opportunity to see happier world," he said. "You will see better shape of world, more friendly, more peaceful, more compassionate."
The Dalai Lama wore a Chip Kelly visor while he spoke on stage at the Matthew Knight Arena.
Many were moved by his words, the Eugene Register-Guard reported.
"He completely touched my heart in 15 or 16 different ways," Eugene resident Nancy Forrest said. "He spoke to me about things going on in my personal life, in our community, in the world today, and I'm going to think a lot about the message. It was extremely moving."
Earlier in the day, the spiritual leader visited Maitripa College in Portland, which is the host for his three-day visit to Oregon, and he talked about the concept of rebirth, a central teaching of Buddhism.
The Oregonian reported (http://bit.ly/10gAY0c) that he joked about the appeal of centuries of rest, even if it happens inside a coffin, and then spoke about science.
He said he welcomes and values scientific research but some phenomena are beyond its scope.