效果图：

布局文件中使用BottomNavigationView

 <android.support.design.widget.BottomNavigationView
            android:id="@+id/bottomNavigationView"
            android:layout_width="match_parent"
            android:layout_height="50dp"
            android:background="@color/white"
            app:itemIconTint="@drawable/home_nav_item_color_state"
            app:itemTextColor="@drawable/home_nav_item_color_state"
            app:menu="@menu/home_navigation">

        </android.support.design.widget.BottomNavigationView>

在menu文件夹（没有的话在res下新建一个）下新建home_navigation.xml文件

<?xml version="1.0" encoding="utf-8"?>
<menu xmlns:android="http://schemas.android.com/apk/res/android">
    <item
        android:id="@+id/navigation_home"
        android:icon="@mipmap/icon1"
        android:title="首页" />
    <item
        android:id="@+id/navigation_list"
        android:icon="@mipmap/icon2"
        android:title="列表" />
    <item
        android:id="@+id/navigation_Three"
        android:icon="@mipmap/icon3"
        android:title="三方" />
    <item
        android:id="@+id/navigation_person"
        android:icon="@mipmap/icon4"
        android:title="个人" />
</menu>

在需要使用的页面添加如下代码,与viewpager联动

    private MenuItem menuItem;

viewPager.addOnPageChangeListener(new ViewPager.OnPageChangeListener() {
            @Override
            public void onPageScrolled(int position, float positionOffset, int positionOffsetPixels) {

            }

            @Override
            public void onPageSelected(int position) {
                if (menuItem != null) {
                    menuItem.setChecked(false);
                } else {
                    bottomNavigationView.getMenu().getItem(0).setChecked(false);
                }
                menuItem = bottomNavigationView.getMenu().getItem(position);
                menuItem.setChecked(true);
            }

            @Override
            public void onPageScrollStateChanged(int state) {

            }
        });

 BottomNavigationViewHelper.disableShiftMode(bottomNavigationView);//取消位移动画
        bottomNavigationView.setOnNavigationItemSelectedListener(new BottomNavigationView.OnNavigationItemSelectedListener() {
            @Override
            public boolean onNavigationItemSelected(@NonNull MenuItem item) {
                menuItem = item;
                int i = item.getItemId();
                if (i == R.id.navigation_home) {
                    viewPager.setCurrentItem(0);
                    return true;
                } else if (i == R.id.navigation_list) {
                    viewPager.setCurrentItem(1);
                    return true;
                } else if (i == R.id.navigation_Three) {
                    viewPager.setCurrentItem(2);
                    return true;
                } else if (i == R.id.navigation_person) {
                    viewPager.setCurrentItem(3);
                    return true;
                }
                return false;
            }
        });

BottomNavigationViewHelper.java

public class BottomNavigationViewHelper {
    public static void disableShiftMode(BottomNavigationView view) {

        BottomNavigationMenuView menuView = (BottomNavigationMenuView) view.getChildAt(0);

        try {
            Field shiftingMode = menuView.getClass().getDeclaredField("mShiftingMode");
            shiftingMode.setAccessible(true);
            shiftingMode.setBoolean(menuView, false);
            shiftingMode.setAccessible(false);
            for (int i = 0; i < menuView.getChildCount(); i++) {
                BottomNavigationItemView item = (BottomNavigationItemView) menuView.getChildAt(i);
                //noinspection RestrictedApi
                item.setShiftingMode(false);
                // set once again checked value, so view will be updated
                //noinspection RestrictedApi
                item.setChecked(item.getItemData().isChecked());
            }
        } catch (NoSuchFieldException e) {
            Log.e("BNVHelper", "Unable to get shift mode field", e);
        } catch (IllegalAccessException e) {
            Log.e("BNVHelper", "Unable to change value of shift mode", e);
        }
    }
}