diff --git a/source/scriptinterface/ScriptConversions.cpp b/source/scriptinterface/ScriptConversions.cpp
index 6bc3706517..d55165ce5b 100644
--- a/source/scriptinterface/ScriptConversions.cpp
+++ b/source/scriptinterface/ScriptConversions.cpp
@@ -49,6 +49,16 @@ template<> bool ScriptInterface::FromJSVal<float>(JSContext* cx, jsval v, float&
 	return true;
 }
 
+template<> bool ScriptInterface::FromJSVal<double>(JSContext* cx, jsval v, double& out)
+{
+	jsdouble ret;
+	WARN_IF_NOT(JSVAL_IS_NUMBER(v));
+	if (!JS_ValueToNumber(cx, v, &ret))
+		return false;
+	out = ret;
+	return true;
+}
+
 template<> bool ScriptInterface::FromJSVal<i32>(JSContext* cx, jsval v, i32& out)
 {
 	int32 ret;
@@ -146,6 +156,13 @@ template<> jsval ScriptInterface::ToJSVal<float>(JSContext* cx, const float& val
 	return rval;
 }
 
+template<> jsval ScriptInterface::ToJSVal<double>(JSContext* cx, const double& val)
+{
+	jsval rval = JSVAL_VOID;
+	JS_NewNumberValue(cx, val, &rval); // ignore return value
+	return rval;
+}
+
 template<> jsval ScriptInterface::ToJSVal<i32>(JSContext* cx, const i32& val)
 {
 	if (INT_FITS_IN_JSVAL(val))
diff --git a/source/scriptinterface/ScriptInterface.cpp b/source/scriptinterface/ScriptInterface.cpp
index 72cab52897..33c9f24d82 100644
--- a/source/scriptinterface/ScriptInterface.cpp
+++ b/source/scriptinterface/ScriptInterface.cpp
@@ -29,6 +29,9 @@
 
 #include <boost/preprocessor/punctuation/comma_if.hpp>
 #include <boost/preprocessor/repetition/repeat.hpp>
+#include <boost/random/linear_congruential.hpp>
+#include <boost/random/uniform_real.hpp>
+#include <boost/random/variate_generator.hpp>
 
 #include "valgrind.h"
 
@@ -110,6 +113,28 @@ JSBool print(JSContext* cx, JSObject* UNUSED(obj), uintN argc, jsval* argv, jsva
 	return JS_TRUE;
 }
 
+// Math override functions:
+
+JSBool Math_random(JSContext* cx, uintN UNUSED(argc), jsval* vp)
+{
+	// Grab the RNG that was hidden in our slot
+	jsval rngp;
+	if (!JS_GetReservedSlot(cx, JSVAL_TO_OBJECT(JS_CALLEE(cx, vp)), 0, &rngp))
+		return JS_FALSE;
+	boost::rand48* rng = static_cast<boost::rand48*>(JSVAL_TO_PRIVATE(rngp));
+
+	// TODO: is the double generation sufficiently deterministic for us?
+	boost::uniform_real<double> dist;
+	boost::variate_generator<boost::rand48&, boost::uniform_real<> > gen(*rng, dist);
+	double r = gen();
+
+	jsval rv;
+	if (!JS_NewNumberValue(cx, r, &rv))
+		return JS_FALSE;
+	JS_SET_RVAL(cx, vp, rv);
+	return JS_TRUE;
+}
+
 } // anonymous namespace
 
 #if ENABLE_SCRIPT_PROFILING
@@ -233,6 +258,26 @@ void* ScriptInterface::GetCallbackData(JSContext* cx)
 	return JS_GetContextPrivate(cx);
 }
 
+void ScriptInterface::ReplaceNondeterministicFunctions(boost::rand48& rng)
+{
+	jsval math;
+	if (!JS_GetProperty(m->m_cx, m->m_glob, "Math", &math) || !JSVAL_IS_OBJECT(math))
+	{
+		LOGERROR(L"ReplaceNondeterministicFunctions: failed to get Math");
+		return;
+	}
+
+	JSFunction* random = JS_DefineFunction(m->m_cx, JSVAL_TO_OBJECT(math), "random", (JSNative)Math_random, 0,
+			JSPROP_ENUMERATE | JSPROP_READONLY | JSPROP_PERMANENT | JSFUN_FAST_NATIVE);
+	if (!random)
+	{
+		LOGERROR(L"ReplaceNondeterministicFunctions: failed to replace Math.random");
+		return;
+	}
+	// Store the RNG in a slot which is sort-of-guaranteed to be unused by the JS engine
+	JS_SetReservedSlot(m->m_cx, JS_GetFunctionObject(random), 0, PRIVATE_TO_JSVAL(&rng));
+}
+
 void ScriptInterface::Register(const char* name, JSNative fptr, size_t nargs)
 {
 	m->Register(name, fptr, (uintN)nargs);
diff --git a/source/scriptinterface/ScriptInterface.h b/source/scriptinterface/ScriptInterface.h
index a1926b60d1..89506a87da 100644
--- a/source/scriptinterface/ScriptInterface.h
+++ b/source/scriptinterface/ScriptInterface.h
@@ -29,6 +29,8 @@
 #include "ScriptTypes.h"
 #include "ScriptVal.h"
 
+namespace boost { class rand48; }
+
 // Set the maximum number of function arguments that can be handled
 // (This should be as small as possible (for compiler efficiency),
 // but as large as necessary for all wrapped functions)
@@ -62,6 +64,8 @@ public:
 
 	JSContext* GetContext() const;
 
+	void ReplaceNondeterministicFunctions(boost::rand48& rng);
+
 	/**
 	 * Call a constructor function, roughly equivalent to JS "new ctor".
 	 *
diff --git a/source/scriptinterface/tests/test_ScriptInterface.h b/source/scriptinterface/tests/test_ScriptInterface.h
index f19ee0e8b2..984b476f04 100644
--- a/source/scriptinterface/tests/test_ScriptInterface.h
+++ b/source/scriptinterface/tests/test_ScriptInterface.h
@@ -21,6 +21,8 @@
 
 #include "ps/CLogger.h"
 
+#include <boost/random/linear_congruential.hpp>
+
 class TestScriptInterface : public CxxTest::TestSuite
 {
 public:
@@ -103,4 +105,24 @@ public:
 		TS_ASSERT(script2.CallFunction(obj2.get(), "toSource", source));
 		TS_ASSERT_STR_EQUALS(source, "({a:#1=[#1#], b:#1#})");
 	}
+
+	void test_random()
+	{
+		ScriptInterface script("Test");
+
+		double d1, d2;
+		TS_ASSERT(script.Eval("Math.random()", d1));
+		TS_ASSERT(script.Eval("Math.random()", d2));
+		TS_ASSERT_DIFFERS(d1, d2);
+
+		boost::rand48 rng;
+		script.ReplaceNondeterministicFunctions(rng);
+		rng.seed(0);
+		TS_ASSERT(script.Eval("Math.random()", d1));
+		TS_ASSERT(script.Eval("Math.random()", d2));
+		TS_ASSERT_DIFFERS(d1, d2);
+		rng.seed(0);
+		TS_ASSERT(script.Eval("Math.random()", d2));
+		TS_ASSERT_EQUALS(d1, d2);
+	}
 };
diff --git a/source/simulation2/system/ComponentManager.cpp b/source/simulation2/system/ComponentManager.cpp
index 9ab72f3f8e..b40f2f0d0f 100644
--- a/source/simulation2/system/ComponentManager.cpp
+++ b/source/simulation2/system/ComponentManager.cpp
@@ -36,6 +36,9 @@ CComponentManager::CComponentManager(CSimContext& context, bool skipScriptFuncti
 
 	m_ScriptInterface.SetCallbackData(static_cast<void*> (this));
 
+	// TODO: ought to seed the RNG (in a network-synchronised way) before we use it
+	m_ScriptInterface.ReplaceNondeterministicFunctions(m_RNG);
+
 	// For component script tests, the test system sets up its own scripted implementation of
 	// these functions, so we skip registering them here in those cases
 	if (!skipScriptFunctions)
diff --git a/source/simulation2/system/ComponentManager.h b/source/simulation2/system/ComponentManager.h
index 9e1f557b16..d19e842b68 100644
--- a/source/simulation2/system/ComponentManager.h
+++ b/source/simulation2/system/ComponentManager.h
@@ -22,6 +22,8 @@
 #include "Components.h"
 #include "scriptinterface/ScriptInterface.h"
 
+#include <boost/random/linear_congruential.hpp>
+
 #include <map>
 
 class IComponent;
@@ -250,6 +252,8 @@ private:
 	entity_id_t m_NextEntityId;
 	entity_id_t m_NextLocalEntityId;
 
+	boost::rand48 m_RNG;
+
 	friend class TestComponentManager;
 };