Alaska Sen. Lisa Murkowski last Thursday described as responsible and “targeted” a bipartisan bill aimed at addressing the nation’s increasing gun violence. She said the measure represents compromise.

“No, I don’t think that you just say, ‘Alright, we pass this and everything is solved,’” she said in a video conference with reporters. The bill represents what a group of lawmakers could “come together with and say, ‘This is a step in the right direction.’”

She said she believes more can be done to provide mental health services in this country.

The Senate approved the...