Writing to Home Secretary Priti Patel and Foreign Secretary Liz Truss, he also called for welcome centres for the refugees arriving in Britain.
Sir Ed visited the border earlier this week, and said he was “appalled by the lack of any organised UK Government sponsored or supported welcome, and the absence of UK Government personnel on the ground at the border”.
He continued: “I met people who are desperate to come to the UK – often to join family members.
“However, there was no one from the Government and no one supported or sponsored by the UK Government to help them to get here or even to explain how they might get to the UK.
“In just the past few days, more than 100,000 people across the UK have offered to host refugees fleeing Ukraine – demonstrating clearly the immense compassion of the British people. The Government must urgently step up its response to match that spirit of generosity.”
Tens of thousands of Britons have registered their interest in taking in Ukrainians, ahead of the sponsorship scheme formally opening on Friday.
Under the separate Ukraine family scheme, 6,100 visas have been issued as of 4pm on Wednesday, the Home Office said.
Some 25,000 applications have been submitted.