The Scouts announced Friday that the proposal would be submitted to the roughly 1,400 voting members of its National Council at a meeting in Texas the week of May 20.
Gay-rights groups have demanded a complete lifting of the ban, while some churches and conservative groups want it maintained in its entirety, raising the likelihood that the new proposal will draw continued criticism from both sides.
Indeed, the BSA, in making its announcement, estimated that easing the ban on gay adults could cause widespread defections that cost the organization 100,000 to 350,000 members.
In January, the BSA said it was considering a plan to give local Scout units the option of admitting gays as both youth members and adult leaders or continuing to exclude them.
On Friday, the BSA said it changed course in part because of surveys sent out starting in February to about 1 million members of the Scouting community.
The review, said a BSA statement, "created an outpouring of feedback" from 200,000 respondents, some supporting the exclusion policy and others favoring a change.
"While perspectives and opinions vary significantly, parents, adults in the Scouting community and teens alike tend to agree that youth should not be denied the benefits of Scouting," the statement said.
As a result, the BSA's Executive Committee drafted a resolution proposing to remove the ban on gay youth while keeping it for all adult leaders.
"The proposed resolution also reinforces that Scouting is a youth program, and any sexual conduct, whether heterosexual or homosexual, by youth of Scouting age is contrary to the virtues of Scouting," the statement said.
The BSA described its survey as "the most comprehensive listening exercise in its history."
In a summary of the findings, it said respondents supported the BSA's current policy of excluding gays by a margin of 61 percent to 34 percent, while a majority of younger parents and teens opposed the policy.
It said overwhelming majorities of parents, teens and members of the Scouting community felt it would be unacceptable to deny an openly gay Scout an Eagle Scout Award solely because of his sexual orientation.
Included in the survey were dozens of churches and other religious organizations that sponsor a majority of Scout units.
The BSA said many of the religious organizations expressed concern over having gay adult leaders and were less concerned about gay youth members.
Many Scout units are sponsored by relatively conservative religious denominations that have supported the ban on gays in the past - notably the Roman Catholic Church, the Church of Jesus Christ of Latter-day Saints and Southern Baptist churches.
The survey tried to gauge the proposal's impact on financial support. Local Scout councils said 51 percent of their major donors opposed easing the ban, while a majority of Fortune 500 companies supported a change.
Since January, the Scouts have come under intense pressure from activists and advocacy groups on both sides of the membership debate.
In Indiana, for example, there's an ongoing campaign demanding that the United Way withhold funding from the Scouts until the ban is lifted. In California, the state Senate is considering a bill aimed at pressuring the BSA to lift the ban by making the organization ineligible for nonprofit tax breaks.
On the other side, the conservative Family Research Council has been circulating an online petition urging the BSA to keep the ban. And in Utah, the Boy Scouts' Great Salt Lake Council - one of the largest in the country with 73,400 youth members - said a survey showed that more than 80 percent of its leaders opposed lifting the ban.