Fiona Bruce MP, who is chair of the Conservative Party Human Rights Commission welcomed action by the UK government to suspend its training programmes with the Burmese Army until violence against the Rohingya is supressed.
In a letter to the Foreign Secretary, the MP said more needs to be done to combat the human rights and humanitarian crisis unfolding on the Burma-Bangladesh border.
She wrote: "It is time now to work for a UN Security Council resolution and a new UN General Assembly resolution, imposing specific targeted measures to put pressure on the Commander-in-Chief of the Burma Army, Senior General Min Aung Hlaing, to stop his soldiers from shooting and killing men, women and children and burning villages.
"We condemn the attacks by ARSA, but the Burmese Army's response has been grossly disproportionate and has resulted in a humanitarian tragedy unprecedented in Burma's recent history."
At least 400,000 civilians have fled across the border from Burma to Bangladesh since the Burma Army began a major offensive against Rohingya civilians almost three weeks ago.
Myanmar has been accused by Amnesty International of "burying its head in the sand" over the Rohingya crisis but the country's leader, Aung San Suu Kyi insists most Rohingya Muslim villages have not been affected by violence.
Ram Gidoomal, chairman of Christian charity South Asian Concern, recently told Premier the leader is "blatantly ignoring the suffering of an entire community".
Thousands have been killed, and there have been allegations of beheadings and the killing of children.
Bruce went on to explain: "For as long as the military in Burma is engaged in crimes against humanity and ethnic cleansing, the United Kingdom should send a strong signal to the military condemning its crimes.
"The tragedy unfolding on the Burma-Bangladesh border has all the hallmarks of Rwanda, Srebrenica, Kosovo and Darfur. It is time to act to prevent another ethnic cleansing becoming another genocide."
According to the UN, roughly half of the Rohingya population have fled to neighbouring Bangladesh in the past year, most of them since the recent violence which has resulted in the displacement of 30,000 ethnic Rakhine Buddhists as well as Hindus.
