diff --git a/src/read.jl b/src/read.jl
index 8fcc60d..cd4a8da 100644
--- a/src/read.jl
+++ b/src/read.jl
@@ -93,13 +93,13 @@ end
 
 const FLOAT_INT_BOUND = 2.0^53
 
-function read!(buf, pos, len, b, tape, tapeidx, ::Type{Any}, checkint=true; allow_inf::Bool=false)
+function read!(buf, pos, len, b, tape, tapeidx, ::Type{Any}, checkint=true; inf_mapping::Union{Function,Nothing}=nothing, allow_inf::Bool=(inf_mapping !== nothing))
     if b == UInt8('{')
-        return read!(buf, pos, len, b, tape, tapeidx, Object, checkint; allow_inf=allow_inf)
+        return read!(buf, pos, len, b, tape, tapeidx, Object, checkint; allow_inf=allow_inf, inf_mapping=inf_mapping)
     elseif b == UInt8('[')
-        return read!(buf, pos, len, b, tape, tapeidx, Array, checkint; allow_inf=allow_inf)
+        return read!(buf, pos, len, b, tape, tapeidx, Array, checkint; allow_inf=allow_inf, inf_mapping=inf_mapping)
     elseif b == UInt8('"')
-        return read!(buf, pos, len, b, tape, tapeidx, String)
+        return read!(buf, pos, len, b, tape, tapeidx, String; inf_mapping=inf_mapping)
     elseif b == UInt8('n')
         return read!(buf, pos, len, b, tape, tapeidx, Nothing)
     elseif b == UInt8('t')
@@ -148,7 +148,7 @@ function read!(buf, pos, len, b, tape, tapeidx, ::Type{Any}, checkint=true; allo
     invalid(InvalidChar, buf, pos, Any)
 end
 
-function read!(buf, pos, len, b, tape, tapeidx, ::Type{String})
+function read!(buf, pos, len, b, tape, tapeidx, ::Type{String}; inf_mapping::Union{Function,Nothing}=nothing)
     pos += 1
     @eof
     strpos = pos
@@ -171,6 +171,23 @@ function read!(buf, pos, len, b, tape, tapeidx, ::Type{String})
         b = getbyte(buf, pos)
     end
     @check
+    if inf_mapping !== nothing
+        val = view(buf, strpos-1:pos)
+        float = if val == codeunits(inf_mapping(Inf))
+            Inf
+        elseif val == codeunits(inf_mapping(-Inf))
+            -Inf
+        elseif val == codeunits(inf_mapping(NaN))
+            NaN
+        else
+            0.0
+        end
+        if float != 0.0
+            @inbounds tape[tapeidx] = FLOAT
+            @inbounds tape[tapeidx+1] = Core.bitcast(UInt64, float)
+            return pos + 1, tapeidx + 2
+        end
+    end
     @inbounds tape[tapeidx] = string(strlen)
     @inbounds tape[tapeidx+1] = ifelse(escaped, ESCAPE_BIT | strpos, strpos)
     return pos + 1, tapeidx + 2
diff --git a/src/write.jl b/src/write.jl
index bfff8a1..cc07cfa 100644
--- a/src/write.jl
+++ b/src/write.jl
@@ -25,6 +25,11 @@ Write JSON.
 ## Keyword Args
 
 * `allow_inf`: Allow writing of `Inf` and `NaN` values (not part of the JSON standard). [default `false`]
+* `inf_mapping`: A function to map `Inf`, `-Inf` and `NaN` values to a custom representation. [default `nothing`]
+
+    if `inf_mapping` is `nothing` the mapping is equivalent to
+    `inf_mapping = x -> x == Inf ? "Infinity" : x == -Inf ? "-Infinity" : "NaN"`.
+    Specifying `inf_mapping` will automatically set the default value of `allow_inf` to `true`.
 * `dateformat`: A [`DateFormat`](https://docs.julialang.org/en/v1/stdlib/Dates/#Dates.DateFormat) describing how to format `Date`s in the object. [default `Dates.default_format(T)`]
 """
 function write(io::IO, obj::T; kw...) where {T}
@@ -279,19 +284,26 @@ function write(::NumberType, buf, pos, len, x::AbstractFloat; allow_inf::Bool=fa
     return buf, pos, len
 end
 
-@inline function write(::NumberType, buf, pos, len, x::T; allow_inf::Bool=false, kw...) where {T <: Base.IEEEFloat}
-    isfinite(x) || allow_inf || error("$x not allowed to be written in JSON spec")
-    if isinf(x)
+@inline function write(::NumberType, buf, pos, len, x::T; inf_mapping::Union{Function, Nothing} = nothing, allow_inf::Bool = inf_mapping !== nothing, kw...) where {T <: Base.IEEEFloat}
+    if isfinite(x) || (allow_inf && inf_mapping === nothing && isnan(x))
+        @check Ryu.neededdigits(T)
+        pos = Ryu.writeshortest(buf, pos, x)
+    else
+        allow_inf || error("$x not allowed to be written in JSON spec")
         # Although this is non-standard JSON, "Infinity" is commonly used.
         # See https://docs.python.org/3/library/json.html#infinite-and-nan-number-values.
-        if sign(x) == -1
-            @writechar '-'
+        if inf_mapping === nothing
+            sign(x) == -1 && @writechar '-'
+            @writechar 'I' 'n' 'f' 'i' 'n' 'i' 't' 'y'
+        else
+            bytes = codeunits(inf_mapping(x))
+            @check length(bytes)
+            for b in bytes
+                @inbounds buf[pos] = b
+                pos += 1
+            end
         end
-        @writechar 'I' 'n' 'f' 'i' 'n' 'i' 't' 'y'
-        return buf, pos, len
     end
-    @check Ryu.neededdigits(T)
-    pos = Ryu.writeshortest(buf, pos, x)
     return buf, pos, len
 end
 
diff --git a/test/json.jl b/test/json.jl
index 98b1e2c..40f8ecd 100644
--- a/test/json.jl
+++ b/test/json.jl
@@ -46,6 +46,11 @@ end
     @test JSON3.read("Inf"; allow_inf=true) === Inf
     @test JSON3.read("Infinity"; allow_inf=true) === Inf
     @test JSON3.read("-Infinity"; allow_inf=true) === -Inf
+
+    quoted_inf_mapping(x) = x == Inf ? "\"Infinity\"" : x == -Inf ? "\"-Infinity\"" : "\"NaN\""
+    @test JSON3.write(NaN, inf_mapping = quoted_inf_mapping) == "\"NaN\""
+    @test JSON3.write(Inf, inf_mapping = quoted_inf_mapping) == "\"Infinity\"" 
+    @test JSON3.write(-Inf, inf_mapping = quoted_inf_mapping) == "\"-Infinity\""
 end
 
 @testset "Char" begin