diff --git a/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/BlockMatrix.scala b/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/BlockMatrix.scala
index 0ab74ba294535..f3458af061822 100644
--- a/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/BlockMatrix.scala
+++ b/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/BlockMatrix.scala
@@ -20,10 +20,12 @@ package org.apache.spark.mllib.linalg.distributed
 import breeze.linalg.{DenseMatrix => BDM}
 
 import org.apache.spark.{Logging, Partitioner}
-import org.apache.spark.mllib.linalg.{DenseMatrix, Matrix}
+import org.apache.spark.mllib.linalg.{SparseMatrix, DenseMatrix, Matrix}
 import org.apache.spark.rdd.RDD
 import org.apache.spark.storage.StorageLevel
 
+import scala.collection.mutable.ArrayBuffer
+
 /**
  * A grid partitioner, which uses a regular grid to partition coordinates.
  *
@@ -182,6 +184,34 @@ class BlockMatrix(
     this
   }
 
+  /** Converts to CoordinateMatrix. */
+  def toCoordinateMatrix(): CoordinateMatrix = {
+    val entryRDD = blocks.flatMap { case ((blockRowIndex, blockColIndex), mat) =>
+      val rowStart = blockRowIndex.toLong * rowsPerBlock
+      val colStart = blockColIndex.toLong * colsPerBlock
+      val entryValues = new ArrayBuffer[MatrixEntry](mat.numRows * mat.numCols)
+      mat match {
+        case dn: DenseMatrix =>
+          dn.foreachActive { (i, j, v) =>
+            if (v != 0.0) entryValues.append(new MatrixEntry(rowStart + i, colStart + j, v))
+          }
+        case sp: SparseMatrix =>
+          sp.foreachActive { (i, j, v) =>
+            entryValues.append(new MatrixEntry(rowStart + i, colStart + j, v))
+          }
+      }
+      entryValues
+    }
+    new CoordinateMatrix(entryRDD, numRows(), numCols())
+  }
+
+  /** Converts to IndexedRowMatrix. The number of columns must be within the integer range. */
+  def toIndexedRowMatrix(): IndexedRowMatrix = {
+    require(numCols() < Int.MaxValue, "The number of columns must be within the integer range. " +
+      s"numCols: ${numCols()}")
+    toCoordinateMatrix().toIndexedRowMatrix()
+  }
+
   /** Collect the distributed matrix on the driver as a `DenseMatrix`. */
   def toLocalMatrix(): Matrix = {
     require(numRows() < Int.MaxValue, "The number of rows of this matrix should be less than " +
diff --git a/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/CoordinateMatrix.scala b/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/CoordinateMatrix.scala
index b60559c853a50..c383d602afeec 100644
--- a/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/CoordinateMatrix.scala
+++ b/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/CoordinateMatrix.scala
@@ -21,8 +21,7 @@ import breeze.linalg.{DenseMatrix => BDM}
 
 import org.apache.spark.annotation.Experimental
 import org.apache.spark.rdd.RDD
-import org.apache.spark.SparkContext._
-import org.apache.spark.mllib.linalg.Vectors
+import org.apache.spark.mllib.linalg.{Matrix, SparseMatrix, Vectors}
 
 /**
  * :: Experimental ::
@@ -98,6 +97,43 @@ class CoordinateMatrix(
     toIndexedRowMatrix().toRowMatrix()
   }
 
+  /** Converts to BlockMatrix. */
+  def toBlockMatrix(rowsPerBlock: Int, colsPerBlock: Int): BlockMatrix = {
+    val m = numRows()
+    val n = numCols()
+    val numRowBlocks = math.ceil(m.toDouble / rowsPerBlock).toInt
+    val numColBlocks = math.ceil(n.toDouble / colsPerBlock).toInt
+    val partitioner = GridPartitioner(numRowBlocks, numColBlocks, entries.partitions.length)
+
+    val blocks: RDD[((Int, Int), Matrix)] = entries.map { entry =>
+      val blockRowIndex = (entry.i / rowsPerBlock).toInt
+      val blockColIndex = (entry.j / colsPerBlock).toInt
+
+      val rowId = entry.i % rowsPerBlock
+      val colId = entry.j % colsPerBlock
+
+      ((blockRowIndex, blockColIndex), (rowId.toInt, colId.toInt, entry.value))
+    }.groupByKey(partitioner).map { case ((blockRowIndex, blockColIndex), entry) =>
+      val effRows =
+        if (blockRowIndex == numRowBlocks - 1) {
+          val modulo = m % rowsPerBlock
+          if (modulo != 0) modulo else rowsPerBlock
+        } else {
+          rowsPerBlock
+        }
+      val effCols =
+        if (blockColIndex == numColBlocks - 1) {
+          val modulo = n % colsPerBlock
+          if (modulo != 0) modulo else colsPerBlock
+        } else {
+          colsPerBlock
+        }
+      ((blockRowIndex.toInt, blockColIndex.toInt),
+        SparseMatrix.fromCOO(effRows.toInt, effCols.toInt, entry))
+    }
+    new BlockMatrix(blocks, rowsPerBlock, colsPerBlock, m, n)
+  }
+
   /** Determines the size by computing the max row/column index. */
   private def computeSize() {
     // Reduce will throw an exception if `entries` is empty.
diff --git a/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/IndexedRowMatrix.scala b/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/IndexedRowMatrix.scala
index c518271f04729..6514d79f7d572 100644
--- a/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/IndexedRowMatrix.scala
+++ b/mllib/src/main/scala/org/apache/spark/mllib/linalg/distributed/IndexedRowMatrix.scala
@@ -24,6 +24,8 @@ import org.apache.spark.rdd.RDD
 import org.apache.spark.mllib.linalg._
 import org.apache.spark.mllib.linalg.SingularValueDecomposition
 
+import java.util.Arrays
+
 /**
  * :: Experimental ::
  * Represents a row of [[org.apache.spark.mllib.linalg.distributed.IndexedRowMatrix]].
@@ -75,6 +77,11 @@ class IndexedRowMatrix(
     new RowMatrix(rows.map(_.vector), 0L, nCols)
   }
 
+  /** Converts to BlockMatrix. */
+  def toBlockMatrix(rowsPerBlock: Int, colsPerBlock: Int): BlockMatrix = {
+    toCoordinateMatrix().toBlockMatrix(rowsPerBlock, colsPerBlock)
+  }
+
   /**
    * Converts this matrix to a
    * [[org.apache.spark.mllib.linalg.distributed.CoordinateMatrix]].
diff --git a/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/BlockMatrixSuite.scala b/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/BlockMatrixSuite.scala
index 05efbc8e8d0b8..7284d03d243f5 100644
--- a/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/BlockMatrixSuite.scala
+++ b/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/BlockMatrixSuite.scala
@@ -120,6 +120,20 @@ class BlockMatrixSuite extends FunSuite with MLlibTestSparkContext {
     }
   }
 
+  test("toCoordinateMatrix") {
+    val coordMat = gridBasedMat.toCoordinateMatrix()
+    assert(coordMat.numRows() === m)
+    assert(coordMat.numCols() === n)
+    assert(coordMat.toBreeze() === gridBasedMat.toBreeze())
+  }
+
+  test("toIndexedRowMatrix") {
+    val rowMat = gridBasedMat.toIndexedRowMatrix()
+    assert(rowMat.numRows() === m)
+    assert(rowMat.numCols() === n)
+    assert(rowMat.toBreeze() === gridBasedMat.toBreeze())
+  }
+
   test("toBreeze and toLocalMatrix") {
     val expected = BDM(
       (1.0, 0.0, 0.0, 0.0),
diff --git a/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/CoordinateMatrixSuite.scala b/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/CoordinateMatrixSuite.scala
index 80bef814ce50d..893d0e2464d1c 100644
--- a/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/CoordinateMatrixSuite.scala
+++ b/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/CoordinateMatrixSuite.scala
@@ -100,4 +100,11 @@ class CoordinateMatrixSuite extends FunSuite with MLlibTestSparkContext {
       Vectors.dense(0.0, 9.0, 0.0, 0.0))
     assert(rows === expected)
   }
+
+  test("toBlockMatrix") {
+    val blockMat = mat.toBlockMatrix(2, 2)
+    assert(blockMat.numRows() === m)
+    assert(blockMat.numCols() === n)
+    assert(blockMat.toBreeze() === mat.toBreeze())
+  }
 }
diff --git a/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/IndexedRowMatrixSuite.scala b/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/IndexedRowMatrixSuite.scala
index b86c2ca5ff136..ef652c5228973 100644
--- a/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/IndexedRowMatrixSuite.scala
+++ b/mllib/src/test/scala/org/apache/spark/mllib/linalg/distributed/IndexedRowMatrixSuite.scala
@@ -88,6 +88,14 @@ class IndexedRowMatrixSuite extends FunSuite with MLlibTestSparkContext {
     assert(coordMat.toBreeze() === idxRowMat.toBreeze())
   }
 
+  test("toBlockMatrix") {
+    val idxRowMat = new IndexedRowMatrix(indexedRows)
+    val blockMat = idxRowMat.toBlockMatrix(2, 2)
+    assert(blockMat.numRows() === m)
+    assert(blockMat.numCols() === n)
+    assert(blockMat.toBreeze() === idxRowMat.toBreeze())
+  }
+
   test("multiply a local matrix") {
     val A = new IndexedRowMatrix(indexedRows)
     val B = Matrices.dense(3, 2, Array(0.0, 1.0, 2.0, 3.0, 4.0, 5.0))