diff --git a/docs/src/lib/conversion.md b/docs/src/lib/conversion.md
index ba6e742105..01e41ec2e6 100644
--- a/docs/src/lib/conversion.md
+++ b/docs/src/lib/conversion.md
@@ -18,7 +18,7 @@ end
 ```@docs
 convert(::Type{HPOLYGON1}, ::HPOLYGON2) where {HPOLYGON1<:AbstractHPolygon, HPOLYGON2<:AbstractHPolygon}
 convert(::Type{HPOLYGON}, ::VPolygon) where {HPOLYGON<:AbstractHPolygon}
-convert(::Type{Hyperrectangle}, ::Interval)
+convert(::Type{Hyperrectangle}, ::AbstractHyperrectangle)
 convert(::Type{Interval}, ::AbstractHyperrectangle)
 convert(::Type{Interval}, ::LazySet{N}) where {N<:Real}
 convert(::Type{Hyperrectangle}, cpa::CartesianProductArray{N, HN}) where {N<:Real, HN<:AbstractHyperrectangle{N}}
diff --git a/src/convert.jl b/src/convert.jl
index c5abc9b135..8e2d14f806 100644
--- a/src/convert.jl
+++ b/src/convert.jl
@@ -316,14 +316,14 @@ function convert(::Type{HPOLYGON}, L::LineSegment{N}
 end
 
 """
-    convert(::Type{Hyperrectangle}, x::Interval)
+    convert(::Type{Hyperrectangle}, H::AbstractHyperrectangle)
 
-Converts a unidimensional interval into a hyperrectangle.
+Convert a hyperrectangular set to a hyperrectangle.
 
 ### Input
 
 - `Hyperrectangle` -- hyperrectangle type, used for dispatch
-- `x`              -- interval
+- `H`              -- hyperrectangular set
 
 ### Output
 
@@ -336,14 +336,14 @@ julia> convert(Hyperrectangle, Interval(0.0, 1.0))
 Hyperrectangle{Float64}([0.5], [0.5])
 ```
 """
-function convert(::Type{Hyperrectangle}, x::Interval)
-    return Hyperrectangle(low=[min(x)], high=[max(x)])
+function convert(::Type{Hyperrectangle}, H::AbstractHyperrectangle)
+    return Hyperrectangle(center(H), radius_hyperrectangle(H))
 end
 
 """
     convert(::Type{Interval}, H::AbstractHyperrectangle)
 
-Converts a hyperrectangular set to a unidimensional interval.
+Converts a hyperrectangular set to an interval.
 
 ### Input
 
@@ -369,7 +369,7 @@ end
 """
     convert(::Type{Interval}, S::LazySet{N}) where {N<:Real}
 
-Converts a convex set to a unidimensional interval.
+Converts a convex set to an interval.
 
 ### Input
 
diff --git a/test/unit_Hyperrectangle.jl b/test/unit_Hyperrectangle.jl
index 7fa42b3fe2..f6c25b1169 100644
--- a/test/unit_Hyperrectangle.jl
+++ b/test/unit_Hyperrectangle.jl
@@ -162,4 +162,11 @@ for N in [Float64, Rational{Int}, Float32]
     B = IntervalBox(IntervalArithmetic.Interval(0, 1), IntervalArithmetic.Interval(0, 1))
     H = convert(Hyperrectangle, B)
     @test convert(IntervalBox, H) == B
+
+    # conversion from other hyperrectangular sets
+    @test convert(Hyperrectangle, BallInf(N[1], N(1))) ==
+          convert(Hyperrectangle, Interval(N(0), N(2))) ==
+          Hyperrectangle(N[1], N[1])
+    @test convert(Hyperrectangle, SymmetricIntervalHull(Singleton(N[1, 1]))) ==
+          Hyperrectangle(N[0, 0], N[1, 1])
 end