The House adopted by voice vote an amendment to the fiscal 2021 Defense appropriations bill Thursday that would effectively bring an end to the Trump administration’s severe restrictions on transgender people serving openly in the U.S. military.

The amendment was tucked into a massive en bloc package of amendments that were attached to the six-bill spending package that includes defense funding.

Introduced by California Democrat Jackie Speier, chairwoman of the House Armed Services Military Personnel Subcommittee, the amendment would block the use of funds to implement policy issued in April...