Container(
        width: yourWidth,
        height: yourHeight ,
        decoration: BoxDecoration(
            borderRadius: radius,
            gradient: yourGradient,
            border: yourBorder),
        child: FlatButton(
          onPressed: {} (),
          shape: RoundedRectangleBorder(borderRadius: radius),
    .......

用同样的半径。

如果你使用材质应用程序作为你的主小部件，你总是可以使用材质按钮。

Padding(
  padding: EdgeInsets.symmetric(vertical: 16.0),
  child: Material(
    borderRadius: BorderRadius.circular(30.0),//Set this up for rounding corners.
    shadowColor: Colors.lightBlueAccent.shade100,
    child: MaterialButton(
      minWidth: 200.0,
      height: 42.0,
      onPressed: (){//Actions here//},
      color: Colors.lightBlueAccent,
      child: Text('Log in', style: TextStyle(color: Colors.white),),
    ),
  ),
)

下面是解决问题的代码。你只需要在盒子装饰中取一个有边界半径的简单容器。

new Container(
    alignment: Alignment.center,
    decoration: BoxDecoration(
        borderRadius: BorderRadius.all(Radius.circular(15.0)),
        color: Colors.blue,
    ),

    child: Row(
        mainAxisAlignment: MainAxisAlignment.center,
        children: <Widget>[
            Padding(
                padding: const EdgeInsets.all(10.0),
                child: new Text(
                    "Next",
                    style: new TextStyle(
                        fontWeight: FontWeight.w500,
                        color: Colors.white,
                        fontSize: 15.0,
                    ),
                ),
            ),
        ],
    ),
),

如果你想使用MaterialButton，

=======================================

你可以添加RoundedRectangleBorder，就像这样，

MaterialButton(
  onPressed: () {},
  minWidth: MediaQuery.of(context).size.width * 0.4,
  height: 34,
  color: colorWhite,
  highlightColor: colorSplash,
  splashColor: colorSplash,
  visualDensity: VisualDensity.compact,
  shape: RoundedRectangleBorder(
    borderRadius: BorderRadius.circular(4),
    side: BorderSide(
      color: colorGrey,
      width: 0.6,
    ),
  ),
  child: Text("CANCEL"),
),

在Flutter中，Container()小部件用于设置小部件的样式。使用Container()小部件，您可以设置任何小部件的边框或圆角。

如果您想设置任何类型的样式和装饰，请将该小部件放到Container()小部件中。这为装饰提供了许多属性。

Container(
  width: 100,
  padding: EdgeInsets.all(10),
  alignment: Alignment.center,
  decoration: BoxDecoration(
          color: Colors.blueAccent,
          borderRadius: BorderRadius.circular(30)), // Make rounded corner
  child: Text("Click"),
)

使用Flutter版本2，请尝试以下操作

ElevatedButton(
    style: ButtonStyle(
        shape: MaterialStateProperty.all<OutlinedBorder>(
            RoundedRectangleBorder(
                side:
                    BorderSide(width: 1.0, color: Colors.red,
                borderRadius:
                    BorderRadius.circular(5.0),),),
        backgroundColor: MaterialStateProperty.all<Color>(Colors.red),
        foregroundColor: MaterialStateProperty.all<Color>(Colors.green),
        elevation:
            MaterialStateProperty.all<double>(8.0),
        padding: MaterialStateProperty.all<EdgeInsetsGeometry>(
            const EdgeInsets.symmetric(
                horizontal: 15.0,
                vertical: 10.0),),),
    onPressed: (){},
    child: Text('Button'),)