The current Libertarian Party (US) Platform states that Libertarians are prepared to welcome refugees, and the LP works against discriminatory policies. In addition it states that a free market requires the free movement of both capital and labor across borders. The platform does allow for control over the entry of people who pose a credible threat to security, health, or property.

Older Libertarian Party (US) Platform stances were more pro-open borders. The 2004 Platform called for "the elimination of all restrictions on immigration, the abolition of the Immigration and Naturalization Service and the Border Patrol, and a declaration of full amnesty for all people who have entered the country illegally". Due to fears from the 2001 Terrorist attack, this was changed to permit some immigration controls.

Opponents of mass immigration within the libertarian movement

Within recent times, some libertarians

Libertarianism

Libertarianism, in the strictest sense, is the political philosophy that holds individual liberty as the basic moral principle of society. In the broadest sense, it is any political philosophy which approximates this view...

, especially paleolibertarian

Paleolibertarianism

Paleolibertarianism is a school of thought within American libertarianism associated with the late economist Murray Rothbard, and the Ludwig von Mises Institute. It is based on a combination of right-libertarianism in politics and cultural conservatism in social thought...

s such as Lew Rockwell

Lew Rockwell

Llewellyn Harrison "Lew" Rockwell, Jr. is an American libertarian political commentator, activist, proponent of the Austrian School of economics, and chairman of the Ludwig von Mises Institute.-Life and work:...

 and Ron Paul

Ron Paul

Ronald Ernest "Ron" Paul is an American physician, author and United States Congressman who is seeking to be the Republican Party candidate in the 2012 presidential election. Paul represents Texas's 14th congressional district, which covers an area south and southwest of Houston that includes...

, have voiced concerns pertaining to the traditional "open borders" policy held by most libertarians. Hans-Hermann Hoppe

Hans-Hermann Hoppe

Hans-Hermann Hoppe is an Austrian School economist of the anarcho-capitalist tradition, and a Professor Emeritus of economics at the University of Nevada, Las Vegas.-Academic career:...

 has argued much in his writings about open borders being against Anarcho-capitalist theory.

The British

United Kingdom

The United Kingdom of Great Britain and Northern IrelandIn the United Kingdom and Dependencies, other languages have been officially recognised as legitimate autochthonous languages under the European Charter for Regional or Minority Languages...

-based Libertarian Alliance

Libertarian Alliance

The Libertarian Alliance comprises two libertarian think tanks in Great Britain that promote free-market economics and civil liberties...

 are prominent advocates of a restricted immigration policy within a libertarian society

Society

A society, or a human society, is a group of people related to each other through persistent relations, or a large social grouping sharing the same geographical or virtual territory, subject to the same political authority and dominant cultural expectations...

.

On 12th January 2009 the Libertarian Party (UK)

Libertarian Party (UK)

The Libertarian Party, also known as the Libertarian Party UK , is a libertarian political party in the United Kingdom. The party describe themselves as "largely minarchist in scope" and it was founded on 1 January 2008 under the leadership of Patrick Vessey who registered with the Electoral...

 was criticized by No Border Network

No Border network

The No Border Network refers to loose associations of autonomous organisations, groups, and individuals in Western Europe, Eastern Europe and beyond...

for having authoritarian and anti-libertarian policies on immigration, in particular the treatment of asylum seekers.