"Now Teddy has become a part of history and we are the ones who will have to do all the things he would have done, for us, for each other and for our country," Kennedy said, who in many ways now becomes the senior member of the famous political family.
Caroline Kennedy's remarks we personal, talking about having to introduce Ted Kennedy at many events to "to audiences that already knew him."
She also talked about her uncle's relationship with her and all of her cousins and how he would help them through school and other endeavors.
"He believed in us - so we should believe in ourselves," she said.
CBSNews.com Special Report: Ted Kennedy
CBS News Special Report: Ted Kennedy - The Last Brother
And she talked he took all the children on historical sites to places like the monuments in Washington, Valley Forge, the Brooklyn Bridge and Bunker Hill.
"He made it something special," Caroline Kennedy said.
"How lucky I am to travel some of that journey with him," she added.
Read more on tonight's memorial service on CBSNews.com:
Family, Political Luminaries Honor Kennedy
Caroline Kennedy: We Have to Do What He Would Have Done
Biden: Kennedy's Legacy Is How We Look at One Another
McCain: Senate "Won't Be the Same" Without Kennedy
Kerry: Kennedy's Gift Was "Incomparable Love of Life"
Hatch: Kennedy and I Were Like "Fighting Brothers"
Dodd: "Teddy Changed Our America"
Rep. Joseph Kennedy: Teddy Was Always There
Photos: The Scene at the JFK Library Memorial
Photos: Speakers Pay Tribute to Kennedy