diff --git a/Lib/fontTools/ttLib/tables/_h_e_a_d.py b/Lib/fontTools/ttLib/tables/_h_e_a_d.py
index 5afc925b1..cef0bf180 100644
--- a/Lib/fontTools/ttLib/tables/_h_e_a_d.py
+++ b/Lib/fontTools/ttLib/tables/_h_e_a_d.py
@@ -4,7 +4,7 @@ from fontTools.misc.fixedTools import floatToFixedToStr, strToFixedToFloat
 from fontTools.misc.textTools import safeEval, num2binary, binary2num
 from fontTools.misc.timeTools import timestampFromString, timestampToString, timestampNow
 from fontTools.misc.timeTools import epoch_diff as mac_epoch_diff # For backward compat
-from fontTools.misc.arrayTools import intRect
+from fontTools.misc.arrayTools import intRect, unionRect
 from . import DefaultTable
 import logging
 
@@ -34,7 +34,7 @@ headFormat = """
 
 class table__h_e_a_d(DefaultTable.DefaultTable):
 
-	dependencies = ['maxp', 'loca', 'CFF ']
+	dependencies = ['maxp', 'loca', 'CFF ', 'CFF2']
 
 	def decompile(self, data, ttFont):
 		dummy, rest = sstruct.unpack2(headFormat, data, self)
@@ -65,6 +65,19 @@ class table__h_e_a_d(DefaultTable.DefaultTable):
 			if 'CFF ' in ttFont:
 				topDict = ttFont['CFF '].cff.topDictIndex[0]
 				self.xMin, self.yMin, self.xMax, self.yMax = intRect(topDict.FontBBox)
+			elif 'CFF2' in ttFont:
+				topDict = ttFont['CFF2'].cff.topDictIndex[0]
+				charStrings = topDict.CharStrings
+				fontBBox = None
+				for charString in charStrings.values():
+					bounds = charString.calcBounds(charStrings)
+					if bounds is not None:
+						if fontBBox is not None:
+							fontBBox = unionRect(fontBBox, bounds)
+						else:
+							fontBBox = bounds
+				if fontBBox is not None:
+					self.xMin, self.yMin, self.xMax, self.yMax = intRect(fontBBox)
 		if ttFont.recalcTimestamp:
 			self.modified = timestampNow()
 		data = sstruct.pack(headFormat, self)
diff --git a/Lib/fontTools/ttLib/tables/_h_h_e_a.py b/Lib/fontTools/ttLib/tables/_h_h_e_a.py
index 0f5ec51d9..4d93b28ab 100644
--- a/Lib/fontTools/ttLib/tables/_h_h_e_a.py
+++ b/Lib/fontTools/ttLib/tables/_h_h_e_a.py
@@ -33,7 +33,7 @@ class table__h_h_e_a(DefaultTable.DefaultTable):
 
 	# Note: Keep in sync with table__v_h_e_a
 
-	dependencies = ['hmtx', 'glyf', 'CFF ']
+	dependencies = ['hmtx', 'glyf', 'CFF ', 'CFF2']
 
 	# OpenType spec renamed these, add aliases for compatibility
 	@property
@@ -52,7 +52,7 @@ class table__h_h_e_a(DefaultTable.DefaultTable):
 		sstruct.unpack(hheaFormat, data, self)
 
 	def compile(self, ttFont):
-		if ttFont.recalcBBoxes and (ttFont.isLoaded('glyf') or ttFont.isLoaded('CFF ')):
+		if ttFont.recalcBBoxes and (ttFont.isLoaded('glyf') or ttFont.isLoaded('CFF ') or ttFont.isLoaded('CFF2')):
 			self.recalc(ttFont)
 		self.tableVersion = fi2ve(self.tableVersion)
 		return sstruct.pack(hheaFormat, self)
@@ -74,8 +74,11 @@ class table__h_h_e_a(DefaultTable.DefaultTable):
 					# Calculate those.
 					g.recalcBounds(glyfTable)
 				boundsWidthDict[name] = g.xMax - g.xMin
-		elif 'CFF ' in ttFont:
-			topDict = ttFont['CFF '].cff.topDictIndex[0]
+		elif 'CFF ' in ttFont or 'CFF2' in ttFont:
+			if 'CFF ' in ttFont:
+				topDict = ttFont['CFF '].cff.topDictIndex[0]
+			else:
+				topDict = ttFont['CFF2'].cff.topDictIndex[0]
 			charStrings = topDict.CharStrings
 			for name in ttFont.getGlyphOrder():
 				cs = charStrings[name]
diff --git a/Lib/fontTools/ttLib/tables/_v_h_e_a.py b/Lib/fontTools/ttLib/tables/_v_h_e_a.py
index 2fc4b013e..55ba45a1d 100644
--- a/Lib/fontTools/ttLib/tables/_v_h_e_a.py
+++ b/Lib/fontTools/ttLib/tables/_v_h_e_a.py
@@ -32,13 +32,13 @@ class table__v_h_e_a(DefaultTable.DefaultTable):
 
 	# Note: Keep in sync with table__h_h_e_a
 
-	dependencies = ['vmtx', 'glyf', 'CFF ']
+	dependencies = ['vmtx', 'glyf', 'CFF ', 'CFF2']
 
 	def decompile(self, data, ttFont):
 		sstruct.unpack(vheaFormat, data, self)
 
 	def compile(self, ttFont):
-		if ttFont.recalcBBoxes and (ttFont.isLoaded('glyf') or ttFont.isLoaded('CFF ')):
+		if ttFont.recalcBBoxes and (ttFont.isLoaded('glyf') or ttFont.isLoaded('CFF ') or ttFont.isLoaded('CFF2')):
 			self.recalc(ttFont)
 		self.tableVersion = fi2ve(self.tableVersion)
 		return sstruct.pack(vheaFormat, self)
@@ -60,8 +60,11 @@ class table__v_h_e_a(DefaultTable.DefaultTable):
 					# Calculate those.
 					g.recalcBounds(glyfTable)
 				boundsHeightDict[name] = g.yMax - g.yMin
-		elif 'CFF ' in ttFont:
-			topDict = ttFont['CFF '].cff.topDictIndex[0]
+		elif 'CFF ' in ttFont or 'CFF2' in ttFont:
+			if 'CFF ' in ttFont:
+				topDict = ttFont['CFF '].cff.topDictIndex[0]
+			else:
+				topDict = ttFont['CFF2'].cff.topDictIndex[0]
 			charStrings = topDict.CharStrings
 			for name in ttFont.getGlyphOrder():
 				cs = charStrings[name]
diff --git a/Tests/fontBuilder/data/test_var.otf.ttx b/Tests/fontBuilder/data/test_var.otf.ttx
index e00d33c59..ccf64dc62 100644
--- a/Tests/fontBuilder/data/test_var.otf.ttx
+++ b/Tests/fontBuilder/data/test_var.otf.ttx
@@ -19,10 +19,10 @@
     <unitsPerEm value="1000"/>
     <created value="Wed Mar 27 00:23:21 2019"/>
     <modified value="Wed Mar 27 00:23:21 2019"/>
-    <xMin value="0"/>
-    <yMin value="0"/>
-    <xMax value="0"/>
-    <yMax value="0"/>
+    <xMin value="100"/>
+    <yMin value="100"/>
+    <xMax value="600"/>
+    <yMax value="1000"/>
     <macStyle value="00000000 00000000"/>
     <lowestRecPPEM value="3"/>
     <fontDirectionHint value="2"/>
@@ -35,10 +35,10 @@
     <ascent value="824"/>
     <descent value="200"/>
     <lineGap value="0"/>
-    <advanceWidthMax value="0"/>
+    <advanceWidthMax value="600"/>
     <minLeftSideBearing value="0"/>
-    <minRightSideBearing value="0"/>
-    <xMaxExtent value="0"/>
+    <minRightSideBearing value="200"/>
+    <xMaxExtent value="400"/>
     <caretSlopeRise value="1"/>
     <caretSlopeRun value="0"/>
     <caretOffset value="0"/>