diff --git a/stdlib/LinearAlgebra/src/generic.jl b/stdlib/LinearAlgebra/src/generic.jl
index ac56cb191488a..d13faf3cdadc7 100644
--- a/stdlib/LinearAlgebra/src/generic.jl
+++ b/stdlib/LinearAlgebra/src/generic.jl
@@ -461,7 +461,7 @@ norm_sqr(x::Union{T,Complex{T},Rational{T}}) where {T<:Integer} = abs2(float(x))
 
 function generic_norm2(x)
     maxabs = normInf(x)
-    (iszero(maxabs) || isinf(maxabs)) && return maxabs
+    (ismissing(maxabs) || iszero(maxabs) || isinf(maxabs)) && return maxabs
     (v, s) = iterate(x)::Tuple
     T = typeof(maxabs)
     if isfinite(length(x)*maxabs*maxabs) && !iszero(maxabs*maxabs) # Scaling not necessary
@@ -472,6 +472,7 @@ function generic_norm2(x)
             (v, s) = y
             sum += norm_sqr(v)
         end
+        ismissing(sum) && return missing
         return convert(T, sqrt(sum))
     else
         sum = abs2(norm(v)/maxabs)
@@ -481,6 +482,7 @@ function generic_norm2(x)
             (v, s) = y
             sum += (norm(v)/maxabs)^2
         end
+        ismissing(sum) && return missing
         return convert(T, maxabs*sqrt(sum))
     end
 end
@@ -491,7 +493,7 @@ function generic_normp(x, p)
     (v, s) = iterate(x)::Tuple
     if p > 1 || p < -1 # might need to rescale to avoid overflow
         maxabs = p > 1 ? normInf(x) : normMinusInf(x)
-        (iszero(maxabs) || isinf(maxabs)) && return maxabs
+        (ismissing(maxabs) || iszero(maxabs) || isinf(maxabs)) && return maxabs
         T = typeof(maxabs)
     else
         T = typeof(float(norm(v)))
@@ -503,15 +505,18 @@ function generic_normp(x, p)
             y = iterate(x, s)
             y === nothing && break
             (v, s) = y
+            ismissing(v) && return missing
             sum += norm(v)^spp
         end
         return convert(T, sum^inv(spp))
     else # rescaling
         sum = (norm(v)/maxabs)^spp
+        ismissing(sum) && return missing
         while true
             y = iterate(x, s)
             y === nothing && break
             (v, s) = y
+            ismissing(v) && return missing
             sum += (norm(v)/maxabs)^spp
         end
         return convert(T, maxabs*sum^inv(spp))
diff --git a/stdlib/LinearAlgebra/test/generic.jl b/stdlib/LinearAlgebra/test/generic.jl
index 25a89977bce54..f1a617d12ead7 100644
--- a/stdlib/LinearAlgebra/test/generic.jl
+++ b/stdlib/LinearAlgebra/test/generic.jl
@@ -543,6 +543,13 @@ end
 
 @testset "missing values" begin
     @test ismissing(norm(missing))
+    x = [5, 6, missing]
+    y = [missing, 5, 6]
+    for p in (-Inf, -1, 1, 2, 3, Inf)
+        @test ismissing(norm(x, p))
+        @test ismissing(norm(y, p))
+    end
+    @test_broken ismissing(norm(x, 0))
 end
 
 @testset "peakflops" begin