diff --git a/src/CellValues/IdentityCellNumbers.jl b/src/CellValues/IdentityCellNumbers.jl
new file mode 100644
index 000000000..2b70773ef
--- /dev/null
+++ b/src/CellValues/IdentityCellNumbers.jl
@@ -0,0 +1,32 @@
+module IdentityCellNumbers
+
+using Gridap
+
+export IdentityCellNumber
+import Gridap: reindex
+import Base: size
+import Base: getindex
+
+struct IdentityCellNumber{T} <: IndexCellValue{T,1}
+  length::Int
+end
+
+function IdentityCellNumber(::Type{T},l::Integer) where T <: Integer
+  IdentityCellNumber{T}(l)
+end
+
+function getindex(c::IdentityCellNumber{T},i::Integer) where T
+  @assert i > 0
+  @assert i <= c.length
+  j::T = i
+  j
+end
+
+size(c::IdentityCellNumber) = (c.length,)
+
+function reindex(values::IndexCellValue, indices::IdentityCellNumber)
+  @assert length(values) == length(indices)
+  values
+end
+
+end # module
diff --git a/src/CellValues/files.jl b/src/CellValues/files.jl
index a7f407d64..3633e7523 100644
--- a/src/CellValues/files.jl
+++ b/src/CellValues/files.jl
@@ -53,4 +53,7 @@ include("CompressedCellValues.jl")
 include("NonIterableCellMaps.jl")
 @reexport using Gridap.NonIterableCellMaps
 
+include("IdentityCellNumbers.jl")
+@reexport using Gridap.IdentityCellNumbers
+
 
diff --git a/test/CellValuesTests/IdentityCellNumbersTests.jl b/test/CellValuesTests/IdentityCellNumbersTests.jl
new file mode 100644
index 000000000..2383aef43
--- /dev/null
+++ b/test/CellValuesTests/IdentityCellNumbersTests.jl
@@ -0,0 +1,19 @@
+module IdentityCellNumbersTests
+
+using Test
+using Gridap
+using Gridap.CellValuesGallery
+
+a = [2,3,4,6,1,8,3,5]
+cn = CellValueFromArray(a)
+
+l = length(a)
+id = IdentityCellNumber(Int,l)
+r = collect(1:l)
+test_index_cell_number(id,r)
+
+cn2 = reindex(cn,id)
+
+@test cn2 === cn
+
+end # module
diff --git a/test/CellValuesTests/runtests.jl b/test/CellValuesTests/runtests.jl
index 33689e678..e0bd51660 100644
--- a/test/CellValuesTests/runtests.jl
+++ b/test/CellValuesTests/runtests.jl
@@ -42,5 +42,7 @@ include("MapsMocks.jl")
 
 @testset "NonIterableCellMaps" begin include("NonIterableCellMapsTests.jl") end
 
+@testset "IdentityCellNumbers" begin include("IdentityCellNumbersTests.jl") end
+
 end # module