diff -r e281a57d5b29 Makefile.pre.in
--- a/Makefile.pre.in	Tue Apr 19 08:53:14 2016 +0200
+++ b/Makefile.pre.in	Wed Apr 20 11:43:50 2016 +0200
@@ -221,6 +221,7 @@
 PYTHON=		python$(EXE)
 BUILDPYTHON=	python$(BUILDEXE)
 
+cross_compiling=@cross_compiling@
 PYTHON_FOR_BUILD=@PYTHON_FOR_BUILD@
 _PYTHON_HOST_PLATFORM=@_PYTHON_HOST_PLATFORM@
 BUILD_GNU_TYPE=	@build@
@@ -715,15 +716,21 @@
 Programs/_freeze_importlib.o: Programs/_freeze_importlib.c Makefile
 
 Programs/_freeze_importlib: Programs/_freeze_importlib.o $(LIBRARY_OBJS_OMIT_FROZEN)
-	$(LINKCC) $(PY_LDFLAGS) -o $@ Programs/_freeze_importlib.o $(LIBRARY_OBJS_OMIT_FROZEN) $(LIBS) $(MODLIBS) $(SYSLIBS) $(LDLAST)
+	if test "$(cross_compiling)" != "yes"; then \
+	    $(LINKCC) $(PY_LDFLAGS) -o $@ Programs/_freeze_importlib.o $(LIBRARY_OBJS_OMIT_FROZEN) $(LIBS) $(MODLIBS) $(SYSLIBS) $(LDLAST); \
+	fi
 
 Python/importlib_external.h: $(srcdir)/Lib/importlib/_bootstrap_external.py Programs/_freeze_importlib
-	./Programs/_freeze_importlib \
-		$(srcdir)/Lib/importlib/_bootstrap_external.py Python/importlib_external.h
+	if test "$(cross_compiling)" != "yes"; then \
+	    ./Programs/_freeze_importlib \
+	        $(srcdir)/Lib/importlib/_bootstrap_external.py Python/importlib_external.h; \
+	fi
 
 Python/importlib.h: $(srcdir)/Lib/importlib/_bootstrap.py Programs/_freeze_importlib
-	./Programs/_freeze_importlib \
-		$(srcdir)/Lib/importlib/_bootstrap.py Python/importlib.h
+	if test "$(cross_compiling)" != "yes"; then \
+	    ./Programs/_freeze_importlib \
+	        $(srcdir)/Lib/importlib/_bootstrap.py Python/importlib.h; \
+	fi
 
 
 ############################################################################
@@ -784,10 +791,18 @@
 $(IO_OBJS): $(IO_H)
 
 $(GRAMMAR_H): $(GRAMMAR_INPUT) $(PGEN)
-		@$(MKDIR_P) Include
-		$(PGEN) $(GRAMMAR_INPUT) $(GRAMMAR_H) $(GRAMMAR_C)
+	@$(MKDIR_P) Include
+	if test "$(cross_compiling)" != "yes"; then \
+		$(PGEN) $(GRAMMAR_INPUT) $(GRAMMAR_H) $(GRAMMAR_C); \
+	else \
+		cp $(srcdir)/Include/graminit.h $(GRAMMAR_H); \
+	fi
 $(GRAMMAR_C): $(GRAMMAR_H)
-		touch $(GRAMMAR_C)
+	if test "$(cross_compiling)" != "yes"; then \
+		touch $(GRAMMAR_C); \
+	else \
+		cp $(srcdir)/Python/graminit.c $(GRAMMAR_C); \
+	fi
 
 $(PGEN): $(PGENOBJS)
 		$(CC) $(OPT) $(PY_LDFLAGS) $(PGENOBJS) $(LIBS) -o $(PGEN)
diff -r e281a57d5b29 configure
--- a/configure	Tue Apr 19 08:53:14 2016 +0200
+++ b/configure	Wed Apr 20 11:43:50 2016 +0200
@@ -751,6 +751,7 @@
 build_vendor
 build_cpu
 build
+cross_compiling
 HAS_HG
 HGBRANCH
 HGTAG
diff -r e281a57d5b29 configure.ac
--- a/configure.ac	Tue Apr 19 08:53:14 2016 +0200
+++ b/configure.ac	Wed Apr 20 11:43:50 2016 +0200
@@ -49,6 +49,7 @@
 AC_CONFIG_SRCDIR([Include/object.h])
 AC_CONFIG_HEADER(pyconfig.h)
 
+AC_SUBST(cross_compiling)
 AC_CANONICAL_HOST
 AC_SUBST(build)
 AC_SUBST(host)