Kennedy, who lives in Branford, appeared at the Connecticut AFL-CIO convention in New Haven to speak about Sen. Edward Kennedy's commitment to the labor movement. A resolution was passed calling Kennedy "labor's champion."
"I would be lying to you if I said I never thought of running for office. I have," Kennedy said after his talk to the convention. "I think every Kennedy has at one point thought about that."
But Kennedy, the late senator's eldest son, said his "primary job" is to raise his two young children and he called politics tough, demanding and "ruthless."
"I'm told one day my children will not want to hang out with me," Kennedy said. "Maybe at that time I'll consider that."
"Who knows what the future may hold," Kennedy added.
Kennedy, a 47-year-old attorney, noted that his 11-year-old son, Ted, gave interviews in which he said he planned to run for Senate when he was 45.
"He's already got his life all laid out," Kennedy joked. "I wish I could say the same for mine."
The younger Kennedy, who lost a leg from cancer at the age of 12, spoke to hundreds of mourners at his father's funeral Mass in Boston, recalling how his father helped him climb a hill to sled. That experience, he said, taught him that even the most profound losses are survivable.
Kennedy said he plans to attend President Obama's address to a joint session of Congress Wednesday night on health care reform. Kennedy said he favors a government-run insurance option, but said there are other good proposals pending and said the key is to make insurance affordable and cover as many people as possible.
Kennedy said his father did not express a preference for who should fill his vacant Senate seat and neither did he.