"The UK should no longer be party to this", Amnesty's Kate Allen said.
A spokesman for Michael Oren, a deputy Israeli cabinet minister, explained that gestures, such as reducing waiting time at the Allenby Bridge could add millions of work hours a year to the Palestinian economy.
It is also considered a major obstacle to creating a Palestinian state alongside Israel.
Israel's unlawful construction and expansion of settlements and their related infrastructure on Palestinian soil is one of the most defining features of Israel's occupation and has bred mass violations against Palestinians over the past five decades.
Palestinians bear a high cost for the construction of settlements, with tens of thousands of homes destroyed and hundreds of thousands of Palestinians displaced, Amnesty says.
Amnesty accused Britain of "shamefully" standing by as Israel has destroyed Palestinian homes and profited form their land and natural resources.
Amnesty is pointing out that all countries have a clear obligation to ensure respect for worldwide humanitarian law and they should not recognise or assist in any manner the illegal situation that Israel's settlement policy has created - instead, they should use their influence to stop such violations.
Palestinians hope to establish a state in the West Bank and Gaza Strip. The resolution also called on all countries to distinguish in all their dealings between the state of Israel and the territories occupied since 1967.
"When asked about the impact the planned construction of additional housing units on the occupied Palestinian lands could have on the stuttering Israeli-Palestinian peace process, Anat Ben Nun said that it means that the Israeli government "has no goodwill or intention to arrive at a negotiated two-state solution".
Last month, MEF and Republican members of Congress launched the initiative's American iteration, the "Israel Victory Caucus", to push for a revision of USA negotiating strategy in the Middle East. Rep. Ron DeSantis (R-Fla.) said the time has come for "a new U.S. approach to the Israeli-Palestinian conflict...they (the Palestinians) must give up the goal of destroying Israel and recognize Israel as the Jewish state". Many of them criminalise peaceful activities and place excessive restrictions on Palestinians, disrupting their daily lives.
Ekklesia's General Election theme for 2017 is #Vote4CommonGood.
Lucas added: "We believe we have to undertake more influencing and advocacy of our own government".