Texas Senator Ted Cruz, a Republican, introduced an amendment to the Senate gay marriage bill regarding what he says are the risks of allowing child marriages, polygamous marriages, and incest that could arise from the legislation.

On Tuesday, Cruz introduced his amendment to the Respect for Marriage Act ahead of its passage in the Senate that same day.

The Texas Republican told Fox News Digital the bill opens an avenue for the Internal Revenue Service (IRS) to go after religious nonprofits and also could force other states to abide by a potential extreme law in one other state.

SENATE TAKES UP SAME-SEX MARRIAGE BILL AFTER THANKSGIVING BREAK

photo of Sen. Ted Cruz

Sen. Ted Cruz , R-Texas, introduced his amendment to the Respect for Marriage Act on Tuesday. (Fox News)

"Not only does the so-called Respect for Marriage Act open the door for a weaponized IRS to target religious non-profits, but it will start a race to the bottom, forcing the most extreme marriage laws from any state onto every other state," Cruz said.

"It will only take a California, New York, or Massachusetts to legalize polygamy, incest, or child marriages to force every state to recognize these relationships as well," the senator continued.

"If this is an unintended consequence, then Democrats should have no problem with supporting my amendment," he added.

Cruz’s amendment would have prevented a state’s potential laws on polygamous marriages, marriages in which "the parties are too closely related," or "marriages in which a party is below a certain age limit" from being forced upon other states that may have different views on the issues.

Supreme Court

The landmark 2015 Supreme Court decision for Obergefell v. Hodges legalized same-sex marriage. (AP Photo/J. Scott Applewhite, File)

The Respect for Marriage Act would codify same-sex marriage into the law, formally bringing up legislation to back the Supreme Court’s 2015 landmark Obergefell v. Hodges decision that legalized same-sex marriage.

While the bill has bipartisan support, it has faced some pushback among Republicans, both on religious liberty grounds and for its requirement that the federal government recognize all marriages that are legal in the state where they took place.

This means that one state with different laws regarding same-sex marriage would have to recognize a marriage from another state that may not align with the first state’s laws.

But Cruz says he's concerned about the implications of the bill if a state were to legalize polyamory or incest.

Ted Cruz

The Texas Republican told Fox News Digital the bill opens an avenue for the Internal Revenue Service (IRS) to go after religious nonprofits and also could force other states to abide by a potential extreme law in one other state. (AP Photo/J. Scott Applewhite)

Sens. Susan Collins, R-Maine, Tammy Baldwin, D-Wis., and others, introduced an amendment protecting religious freedom that will need to get 60 yeas to clear the procedural vote and get a chance at a final Senate vote before it can be included in the bill.

The amendment from Collins and Baldwin is aimed at making sure the bill does not undermine religious liberty and states that nonprofit religious organizations "shall not be required to provide services" to a marriage it opposes.

The amendment also says nothing in the bill can threaten the tax-exempt status of religious groups.

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On Nov. 16, the bill cleared the Senate’s first procedural hurdle in a 62-37 vote in favor of ending debate and moving it to a final vote.

The Respect for Marriage Act passed the Senate on Tuesday in a 61-36 vote and is headed to the House. Cruz's amendment was not included in the bill passed by the Senate.