Can a conditional permanent resident file a petition to bring their children to the United States?
Yes. Federal regulations hold that “Unless otherwise specified, the rights, privileges, responsibilities and duties which apply to all other lawful permanent residents apply equally to conditional permanent residents, including but not limited to the right to apply for naturalization (if otherwise eligible), the right to file petitions on behalf of qualifying relatives, the privilege of residing permanently in the United States as an immigrant in accordance with the immigration laws, such status not having changed; the duty to register with the Selective Service System, when required; and the responsibility for complying with all laws and regulations of the United States. All references within this chapter to lawful permanent residents apply equally to conditional permanent residents, unless otherwise specified.” 8 CFR 216.1
The exceptions apply to attempts by Conditional Permanent Residents to apply for spouses other than the one who is the source of their conditional residency.
Conditional permanent residents are able to petition for children on the same terms as any other permanent resident. Conditional residents can file an I-130 at any time after receiving their LPR status. They do not have to wait until having the conditions removed from their green card.