代码如下：点击编辑按钮可编辑当前行，点击保存可以保存当前行，可以结合业务需要，进一步修改

<template>
  <div class="st-table">
    <el-table :data="tableData" border style="width: 100%">
      <el-table-column prop="date" label="日期" width="180">
        <template slot-scope="scope">
          <input type="text" v-model="scope.row.date" v-show="scope.row.iseditor" />
          <span v-show="!scope.row.iseditor">{{scope.row.date}}</span>
        </template>
      </el-table-column>
      <el-table-column prop="name" label="姓名" width="180">
        <template slot-scope="scope">
          <input type="text" v-model="scope.row.name" v-show="scope.row.iseditor" />
          <span v-show="!scope.row.iseditor">{{scope.row.name}}</span>
        </template>
      </el-table-column>
      <el-table-column prop="address" label="地址">
        <template slot-scope="scope">
          <input type="text" v-model="scope.row.address" v-show="scope.row.iseditor" />
          <span v-show="!scope.row.iseditor">{{scope.row.address}}</span>
        </template>
      </el-table-column>
      <el-table-column label="操作" width="180">
        <template slot-scope="scope">
          <el-button type="warning" @click="edit(scope.row, scope)">编辑</el-button>
          <el-button type="danger" @click="save(scope.row)">保存</el-button>
        </template>
      </el-table-column>
    </el-table>
  </div>
</template>
<script>
export default {
  data() {
    return {
      tableData: [
        {
          date: "2016-05-02",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1518 弄",
          iseditor: false
        },
        {
          date: "2016-05-04",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1517 弄",
          iseditor: false
        },
        {
          date: "2016-05-01",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1519 弄",
          iseditor: false
        },
        {
          date: "2016-05-03",
          name: "王小虎",
          address: "上海市普陀区金沙江路 1516 弄",
          iseditor: false
        }
      ]
    };
  },
  methods: {
    edit(row, index) {
      row.iseditor = true;
    },
    save(row, index) {
      row.iseditor = false;
    }
  }
};
</script>
<style lang="less" scoped>
.st-table {
  padding: 10px;
}
</style>

效果：

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