diff --git a/CHANGELOG.md b/CHANGELOG.md
index c7907ed679c9..dfb84b073edb 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -40,6 +40,7 @@ and this project adheres to [Semantic Versioning](https://semver.org/spec/v2.0.0
 
 ### Fixed
 
+- Fix inconsistency in History output so that multi-dimensional coordinate variables are also compressed if requested in the collection
 - Minor workaround to enable NAG 7.2.01 to compile.  (Reproducer submitted to NAG.)
 - Fixed bug with split restart files
 - Removed unnecessary memory allocation for tile reads. This is critical for high res runs on SCU17
diff --git a/griddedio/GriddedIO.F90 b/griddedio/GriddedIO.F90
index c8c9f51a10ac..fe2e6fb45be5 100644
--- a/griddedio/GriddedIO.F90
+++ b/griddedio/GriddedIO.F90
@@ -128,6 +128,7 @@ subroutine CreateFileMetaData(this,items,bundle,timeInfo,vdata,ogrid,global_attr
         integer :: metadataVarsSize
         type(StringStringMapIterator) :: s_iter
         character(len=:), pointer :: attr_name, attr_val
+        class(Variable), pointer :: coord_var
         integer :: status
 
         if ( allocated (this%metadata) ) deallocate(this%metadata)
@@ -164,6 +165,14 @@ subroutine CreateFileMetaData(this,items,bundle,timeInfo,vdata,ogrid,global_attr
         factory => get_factory(this%output_grid,rc=status)
         _VERIFY(status)
         call factory%append_metadata(this%metadata)
+        coord_var => this%metadata%get_variable('lons')
+        if (associated(coord_var)) call coord_var%set_deflation(this%deflateLevel)
+        coord_var => this%metadata%get_variable('lats')
+        if (associated(coord_var)) call coord_var%set_deflation(this%deflateLevel)
+        coord_var => this%metadata%get_variable('corner_lons')
+        if (associated(coord_var)) call coord_var%set_deflation(this%deflateLevel)
+        coord_var => this%metadata%get_variable('corner_lats')
+        if (associated(coord_var)) call coord_var%set_deflation(this%deflateLevel)
 
 
         if (present(vdata)) then
diff --git a/pfio/Variable.F90 b/pfio/Variable.F90
index ae6a5c7bcafb..9d42cf97f7f2 100644
--- a/pfio/Variable.F90
+++ b/pfio/Variable.F90
@@ -48,6 +48,7 @@ module pFIO_VariableMod
 
       procedure :: get_chunksizes
       procedure :: get_deflation
+      procedure :: set_deflation
       procedure :: get_quantize_algorithm
       procedure :: get_quantize_level
       procedure :: is_attribute_present
@@ -292,6 +293,12 @@ function get_deflation(this) result(deflateLevel)
       deflateLevel=this%deflation
    end function get_deflation
 
+   subroutine set_deflation(this,deflate_level)
+      class (Variable), target, intent(inout) :: this
+      integer, intent(in) :: deflate_level
+      this%deflation = deflate_level
+   end subroutine
+
    function get_quantize_algorithm(this) result(quantizeAlgorithm)
       class (Variable), target, intent(In) :: this
       integer :: quantizeAlgorithm