"Those who are eligible to immigrate under the Law of Return are immediately granted citizenship. Controversy has arisen as to whether all those claiming citizenship rights under the Law of Return should be registered as "Jewish" citizens for census purposes. Jewish status is traditionally granted according to the halakhic definition of being Jewish-- if your mother is Jewish, you are Jewish as well or if you convert to Judaism (though conversions to Reform and Conservative Judaism streams are generally not recognized by many people in Israel). However, any Jew regardless of affiliation may return and claim citizenship in Israel.
Originally, the Law of Return was restricted to Jews only. A 1970 amendment, however, stated that, "The rights of a Jew under this Law and the rights of an oleh under the Nationality Law...are also vested in a child and a grandchild of a Jew, the spouse of a Jew, the spouse of a child of a Jew and the spouse of a grandchild of a Jew" (Law of Return)."