Nigel Farage called her reaction "graceless and nasty" while the Lib Dem MP Layla Moran, who held Oxford West and Abingdon, said: "This is so unacceptably ungracious".
Sir Ed lost the party's last leadership contest to Ms Swinson.
"Liberal Democrats will continue to stand up for these values that guide our Liberal movement - openness, fairness, inclusivity".
"We were honest about what we believe in and what we were trying to achieve".
The new MP said: "It's quite a momentous achievement, both for me personally but also in terms of the people of East Dunbartonshire, completely rejecting the politics of austerity and also giving the people a chance to choose their own future, I think that is incredibly important".
He also said of the government: "I do not believe they can get Brexit done in the next year as they said they would do".
Swinson told PinkNews that she doesn't agree with the comments, but added: "People may join us from different places, but they join us and everything that we stand for together".
She said: "On a personal level, I really do feel for her, but of course I can't help but be delighted by the performance of my party this evening".
It's easy to see why many have been tempted by the argument, the "Winning here" signs and distorted bar charts that hammered home the point over the General Election campaign.
"I will discuss with our party to ensure there is a process now of reflection on this result and on the policies that the party will take going forward".
He said: "All of those policies were extremely popular during the election campaign and remain policies that have huge popular support all across this country".
But Mr Corbyn is under high pressure to quit immediately after the Tories took a string of Labour strongholds.
"But it could be much worse than a bad night for all those who rely on our public services and the NHS".