The USCCB office of Migration and Refugee Policy has a lot of publication that you can read in order to understand the position of the Church.
From that office:
“When persons cannot find employment in their country of origin to support themselves and their families, they have a right to find work elsewhere in order to survive. Sovereign nations should provide ways to accommodate this right4…More powerful economic nations…have a stronger obligation to accommodate migration flows.” 5
Furthermore, the Church has taught that both the sovereign nation and the immigrant should remain in solidarity by each actively seeking the common good. As Pope John Paul II stated in Solicitudo Rei Socialis: “Those who are more influential, because they have a greater share of goods and common services, should feel responsible for the weaker and be ready to share with them all they possess. Those who are weaker, for their part, in the same spirit of solidarity should not adopt a purely passive attitude, or one that is destructive of the social fabric, but, while claiming their legitimate rights, should do what they can for the good of all.”6
USCCB Position
The United States Catholic Bishops Conference (USCCB) believes that meaningful immigration reform must properly balance the right to migrate and the right to regulate migration. Thus, the USCCB opposes “enforcement only” immigration policies because they lack proper accommodation of the right to migrate. Instead, the USCCB supports “comprehensive” immigration policies that pare valid enforcement laws with fair and generous legalization measures. The U.S. Catholic Bishops have outlined various elements of their proposal for comprehensive immigration reform. The key elements of comprehensive reform advocated by the Bishops are:
Earned Legalization: An earned legalization program with a path to citizenship would require unauthorized workers to work for several years, take English courses, and pay a fine in order to participate in the program. Such a program would help stabilize the workforce, promote family unity, and bring a large population “out of the shadows,” as members of their communities.
Enforcement: The Bishops support the legitimate and important role of the United States government in enforcing immigration law at the border and in the interior. The Bishops also believe that by replacing illegal migration with legal migration, law enforcement will be better able to focus upon those who truly threaten public safety: drug and human traffickers, smugglers, and would-be terrorists. Any enforcement measures must be targeted, proportional, and humane.
Future Worker Program: A worker program to permit foreign-born workers to enter the country safely and legally would help reduce illegal immigration and the loss of life in the American desert. Any program should include workplace protections, living wage levels, safeguards against the displacement of U.S. workers, and family unity.
Family-based immigration reform: It currently takes years for family members to be reunited through the family-based legal immigration system. This leads to family breakdown and, in some cases, illegal immigration. Changes in the family-based immigration should be made to increase the number of family visas available and reduce family reunification waiting times.
Addressing Root Causes: Congress should examine the root causes of migration, such as wage inequities and the lack of job opportunities in sending countries, and seek long-term solutions. The antidote to the problem of illegal immigration is sustainable economic development in sending countries. Ideally, migration should be driven by choice, not necessity.
Restoration of Due Process Rights: Due process rights taken away by the 1996 Illegal Immigration Reform and Immigrant Responsibility Act (IIRIRA) should be restored, particularly the use of judicial discretion in deportation proceedings.