diff --git a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/Analyzer.scala b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/Analyzer.scala
index e362b55d80cd..60def366a3cd 100644
--- a/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/Analyzer.scala
+++ b/sql/catalyst/src/main/scala/org/apache/spark/sql/catalyst/analysis/Analyzer.scala
@@ -462,6 +462,43 @@ class Analyzer(
           Generate(newG.asInstanceOf[Generator], join, outer, qualifier, output, child)
         }
 
+      case a @ Aggregate(groups, aggs, child)
+        if (groups.nonEmpty && aggs.nonEmpty && child.resolved
+          && aggs.map(_.resolved).reduceLeft(_ && _)
+          && (!groups.map(_.resolved).reduceLeft(_ && _))) =>
+        val newGroups = groups.map(g => g transformUp {
+          case u @ UnresolvedAttribute(nameParts) =>
+            val result = withPosition(u) {
+              resolveAliases(nameParts,
+                aggs.collect { case a: Alias => a }, resolver).getOrElse(u)
+            }
+            logDebug(s"Resolving $u to $result")
+            result
+          case UnresolvedExtractValue(child, fieldExpr) if child.resolved =>
+            ExtractValue(child, fieldExpr, resolver)
+        })
+
+        val q = if (!newGroups.zip(groups).map(p => p._1 fastEquals (p._2))
+          .reduceLeft(_ && _)) {
+          Aggregate(newGroups, aggs, child)
+        } else {
+          a
+        }
+
+        logTrace(s"Attempting to resolve ${q.simpleString}")
+        q transformExpressionsUp {
+          case u @ UnresolvedAttribute(nameParts) =>
+            // Leave unchanged if resolution fails.  Hopefully will be resolved next round.
+            val result =
+              withPosition(u) {
+                q.resolveChildren(nameParts, resolver).getOrElse(u)
+              }
+            logDebug(s"Resolving $u to $result")
+            result
+          case UnresolvedExtractValue(child, fieldExpr) if child.resolved =>
+            ExtractValue(child, fieldExpr, resolver)
+        }
+
       case q: LogicalPlan =>
         logTrace(s"Attempting to resolve ${q.simpleString}")
         q transformExpressionsUp  {
@@ -493,6 +530,19 @@ class Analyzer(
     def containsStar(exprs: Seq[Expression]): Boolean =
       exprs.exists(_.collect { case _: Star => true }.nonEmpty)
   }
+  /**
+   * Find matching Aliases for attribute name
+   */
+  private def resolveAliases(
+        nameParts: Seq[String],
+        aliases: Seq[Alias],
+        resolver: Resolver): Option[Alias] = {
+    val matches = if (nameParts.length == 1) {
+      aliases.distinct.filter(a => resolver(a.name, nameParts.head))
+    } else Nil
+    if (matches.isEmpty) None
+    else Some(matches.head)
+  }
 
   private def resolveSortOrders(ordering: Seq[SortOrder], plan: LogicalPlan, throws: Boolean) = {
     ordering.map { order =>
diff --git a/sql/core/src/test/scala/org/apache/spark/sql/SQLQuerySuite.scala b/sql/core/src/test/scala/org/apache/spark/sql/SQLQuerySuite.scala
index bd987ae1bb03..779c509c5bdc 100644
--- a/sql/core/src/test/scala/org/apache/spark/sql/SQLQuerySuite.scala
+++ b/sql/core/src/test/scala/org/apache/spark/sql/SQLQuerySuite.scala
@@ -2079,4 +2079,27 @@ class SQLQuerySuite extends QueryTest with SharedSQLContext {
     assert(rdd.takeAsync(2147483638).get.size === 3)
   }
 
+  test("SPARK-10777: resolve the alias defined in aggregation expression used in group by") {
+    val structDf = testData2.select("a", "b").as("record")
+
+    checkAnswer(
+      sql("SELECT a as r, sum(b) as s from testData2 GROUP BY r"),
+      Row(1, 3) :: Row(2, 3) :: Row(3, 3) :: Nil
+    )
+
+    checkAnswer(
+      sql("SELECT * FROM " +
+        "(SELECT a as r, sum(b) as s from testData2 GROUP BY r) t"),
+      Row(1, 3) :: Row(2, 3) :: Row(3, 3) :: Nil
+    )
+
+    checkAnswer(
+      sql("SELECT r as c1, min(s) as c2 FROM " +
+        "(SELECT a as r, sum(b) as s from testData2 GROUP BY a) t order by r"),
+      Row(1, 3) :: Row(2, 3) :: Row(3, 3) :: Nil
+    )
+
+    //val df = sql("select a  r, sum(b) s FROM testData2 GROUP BY r")
+    //val df = sql("SELECT * FROM ( select a r, sum(b) s FROM testData2 GROUP BY r) t")
+  }
 }