She said the group had their passports seized before they were taken one-by-one for individual interviews by Israeli border security.
Bird claimed these featured "a lot of shouting and screaming".
During her interview, Bird said she was accused of "hating Israel".
She said the delegation was made to wait for a further period before being told they were not allowed to cross and were put on a bus back to the Jordanian border.
She told BBC Scotland News: "It was an exercise in intimidation and fear.
"They said they had evidence that I hate Israel and that, I think, was one of the reasons they didn't want to let us in."
Lewis, who represents Norwich South, said the group had been "made to feel as though they had done something wrong" in a post on X.
He added: "We knew that by crossing into the occupied Palestinian territories, we risked being detained, interrogated and turned away by Israeli authorities. And that, alas, is exactly what happened.
"The simple truth is we had done nothing wrong. We went to show our support for the Palestinian people and highlight the terrible injustice and violence being perpetrated against them."
Nevens described the experience as "frightening" but added that the group was able to "leave safely".
She said: "What we experienced was only a small fraction of the terrifying reality Palestinians face when they try to cross the same border to reach their families or simply go about their lives."
Extracted and lightly reformatted for readability. · Source: pt