diff --git a/src/basic.jl b/src/basic.jl
index ccd9756..573e4e0 100644
--- a/src/basic.jl
+++ b/src/basic.jl
@@ -110,7 +110,14 @@ function Base.getindex(v::MemoryView, idx::AbstractUnitRange)
     isempty(idx) && return typeof(v)(unsafe, memoryref(v.ref.mem), 0)
     @boundscheck checkbounds(v, idx)
     newref = @inbounds memoryref(v.ref, Int(first(idx))::Int)
-    return typeof(v)(unsafe, newref, length(idx))
+    return typeof(v)(unsafe, newref, Int(length(idx))::Int)
+end
+
+function Base.getindex(v::MemoryView, idx::UnitRange{UInt})
+    isempty(idx) && return typeof(v)(unsafe, memoryref(v.ref.mem), 0)
+    @boundscheck checkbounds(v, idx)
+    newref = @inbounds memoryref(v.ref, first(idx) % Int)
+    return typeof(v)(unsafe, newref, length(idx) % Int)
 end
 
 # Faster method, because we don't need to create a new memoryref, and also don't
diff --git a/test/runtests.jl b/test/runtests.jl
index e78980b..8d5cbbc 100644
--- a/test/runtests.jl
+++ b/test/runtests.jl
@@ -255,6 +255,13 @@ end
 
         @test_throws BoundsError mem[Base.OneTo(8)]
         @test_throws BoundsError mem[Base.OneTo(typemax(Int))]
+
+        # UInt indexing
+        v = MemoryView([3, 4, 5, 6, 7])
+        v2 = v[UInt(2):UInt(4)]
+        @test v2 == 4:6
+        @test isempty(v2[UInt(2):UInt(1)])
+        @test isempty(v2[UInt(6):UInt(5)])
     end
 
     @testset "Views of memviews" begin