diff --git a/NEWS.md b/NEWS.md
index 1e4e24b67a4db..dcf2b13c12214 100644
--- a/NEWS.md
+++ b/NEWS.md
@@ -65,6 +65,8 @@ Standard library changes
 
 * `randperm!` and `randcycle!` now support non-`Array` `AbstractArray` inputs, assuming they are mutable and their indices are one-based ([#58596]).
 
+* `shuffle` now may take an argument of `NTuple` value ([#56906]).
+
 #### REPL
 
 * The display of `AbstractChar`s in the main REPL mode now includes LaTeX input information like what is shown in help mode ([#58181]).
diff --git a/stdlib/Random/src/misc.jl b/stdlib/Random/src/misc.jl
index 0f113e8153f04..395137b50abfd 100644
--- a/stdlib/Random/src/misc.jl
+++ b/stdlib/Random/src/misc.jl
@@ -183,6 +183,34 @@ ltm52(n::Int, mask::Int=nextpow(2, n)-1) = LessThan(n-1, Masked(mask, UInt52Raw(
 
 ## shuffle & shuffle!
 
+function shuffle(rng::AbstractRNG, tup::NTuple{N}) where {N}
+    # `@inline` and `@inbounds` are here to help escape analysis eliminate the `Memory` allocation
+    #
+    # * `@inline` might be necessary because escape analysis relies on everything
+    #   touching the `Memory` being inlined because there's no interprocedural escape
+    #   analysis yet, relevant WIP PR: https://github.com/JuliaLang/julia/pull/56849
+    #
+    # * `@inbounds` might be necessary because escape analysis requires any throws of
+    #   `BoundsError` to be eliminated as dead code, because `BoundsError` stores the
+    #   array itself, making the throw escape the array from the function, relevant
+    #   WIP PR: https://github.com/JuliaLang/julia/pull/56167
+    @inline let
+        # use a narrow integer type to save stack space and prevent heap allocation
+        Ind = if N ≤ typemax(UInt8)
+            UInt8
+        elseif N ≤ typemax(UInt16)
+            UInt16
+        else
+            UInt
+        end
+        mem = @inbounds randperm!(rng, Memory{Ind}(undef, N))
+        function closure(i::Int)
+            @inbounds tup[mem[i]]
+        end
+        ntuple(closure, Val{N}())::typeof(tup)
+    end
+end
+
 """
     shuffle!([rng=default_rng(),] v::AbstractArray)
 
@@ -238,13 +266,16 @@ end
 shuffle!(a::AbstractArray) = shuffle!(default_rng(), a)
 
 """
-    shuffle([rng=default_rng(),] v::AbstractArray)
+    shuffle([rng=default_rng(),] v::Union{NTuple,AbstractArray})
 
 Return a randomly permuted copy of `v`. The optional `rng` argument specifies a random
 number generator (see [Random Numbers](@ref)).
 To permute `v` in-place, see [`shuffle!`](@ref). To obtain randomly permuted
 indices, see [`randperm`](@ref).
 
+!!! compat "Julia 1.13"
+    Shuffling an `NTuple` value requires Julia v1.13 or above.
+
 # Examples
 ```jldoctest
 julia> shuffle(Xoshiro(123), Vector(1:10))
@@ -261,8 +292,10 @@ julia> shuffle(Xoshiro(123), Vector(1:10))
   7
 ```
 """
+function shuffle end
+
 shuffle(r::AbstractRNG, a::AbstractArray) = shuffle!(r, copymutable(a))
-shuffle(a::AbstractArray) = shuffle(default_rng(), a)
+shuffle(a::Union{NTuple, AbstractArray}) = shuffle(default_rng(), a)
 
 shuffle(r::AbstractRNG, a::Base.OneTo) = randperm(r, last(a))
 
diff --git a/stdlib/Random/test/runtests.jl b/stdlib/Random/test/runtests.jl
index e929cd2d8a517..6403fbfe958c3 100644
--- a/stdlib/Random/test/runtests.jl
+++ b/stdlib/Random/test/runtests.jl
@@ -1071,6 +1071,23 @@ end
     @test maximum(m) <= 0.106
 end
 
+@testset "`shuffle(::NTuple)`" begin
+    @testset "sorted" begin
+        for n ∈ 0:20
+            tup = ntuple(identity, n)
+            @test tup === sort(@inferred shuffle(tup))
+        end
+    end
+    @testset "not identity" begin
+        function shuffle_is_identity()
+            tup = ntuple(identity, 9)
+            tup === shuffle(tup)
+        end
+        # shuffling may behave as the identity sometimes, but if it doesn't manage to actually reorder some of the elements at least once, something is wrong
+        @test any((_ -> !shuffle_is_identity()), 1:1000000)
+    end
+end
+
 # issue #42752
 # test that running finalizers that launch tasks doesn't change RNG stream
 function f42752(do_gc::Bool, cell = (()->Any[[]])())