diff --git a/scapy/layers/inet.py b/scapy/layers/inet.py
index f46ed7f5e4e..24464f7ccc9 100644
--- a/scapy/layers/inet.py
+++ b/scapy/layers/inet.py
@@ -755,6 +755,12 @@ def post_build(self, p, pay):
             elif conf.ipv6_enabled and isinstance(self.underlayer, scapy.layers.inet6.IPv6) or isinstance(self.underlayer, scapy.layers.inet6._IPv6ExtHdr):  # noqa: E501
                 ck = scapy.layers.inet6.in6_chksum(socket.IPPROTO_TCP, self.underlayer, p)  # noqa: E501
                 p = p[:16] + struct.pack("!H", ck) + p[18:]
+            elif self.underlayer and self.underlayer.name == "AH" and isinstance(self.underlayer.underlayer, IP):  # noqa: E501
+                ck = in4_chksum(socket.IPPROTO_TCP, self.underlayer.underlayer, p)
+                p = p[:16] + struct.pack("!H", ck) + p[18:]
+            elif self.underlayer and self.underlayer.name == "AH" and ((conf.ipv6_enabled and isinstance(self.underlayer.underlayer, scapy.layers.inet6.IPv6)) or isinstance(self.underlayer.underlayer, scapy.layers.inet6._IPv6ExtHdr)):  # noqa: E501
+                ck = scapy.layers.inet6.in6_chksum(socket.IPPROTO_TCP, self.underlayer.underlayer, p)  # noqa: E501
+                p = p[:16] + struct.pack("!H", ck) + p[18:]
             else:
                 log_runtime.info(
                     "No IP underlayer to compute checksum. Leaving null."
@@ -833,6 +839,18 @@ def post_build(self, p, pay):
                 if ck == 0:
                     ck = 0xFFFF
                 p = p[:6] + struct.pack("!H", ck) + p[8:]
+            elif self.underlayer and self.underlayer.name == "AH" and isinstance(self.underlayer.underlayer, IP):  # noqa: E501
+                ck = in4_chksum(socket.IPPROTO_UDP, self.underlayer.underlayer, p)
+                # According to RFC768 if the result checksum is 0, it should be set to 0xFFFF  # noqa: E501
+                if ck == 0:
+                    ck = 0xFFFF
+                p = p[:6] + struct.pack("!H", ck) + p[8:]
+            elif self.underlayer and self.underlayer.name == "AH" and (isinstance(self.underlayer.underlayer, scapy.layers.inet6.IPv6) or isinstance(self.underlayer.underlayer, scapy.layers.inet6._IPv6ExtHdr)):  # noqa: E501
+                ck = scapy.layers.inet6.in6_chksum(socket.IPPROTO_UDP, self.underlayer.underlayer, p)  # noqa: E501
+                # According to RFC2460 if the result checksum is 0, it should be set to 0xFFFF  # noqa: E501
+                if ck == 0:
+                    ck = 0xFFFF
+                p = p[:6] + struct.pack("!H", ck) + p[8:]
             else:
                 log_runtime.info(
                     "No IP underlayer to compute checksum. Leaving null."
diff --git a/test/scapy/layers/inet.uts b/test/scapy/layers/inet.uts
index 5b98c1c74f3..3b5408f2bb5 100644
--- a/test/scapy/layers/inet.uts
+++ b/test/scapy/layers/inet.uts
@@ -396,10 +396,29 @@ assert pkt.options[0][1] == (b'\xe3\xa0,\xdc\xe4\xae\x87\x18\xad{\xab\xd0b\x12\x
 assert TCP(bytes(pkt)).options[0][0] == "MD5"
 
 = IP, TCP & UDP checksums (these tests highly depend on default values)
+
+def transferPacket(pkt):
+    packet = hexdump(pkt, dump=True).split('\n')
+    packet = list(map(lambda x: x.split("  ")[1], packet))
+    return " ".join(packet).strip().split(" ")
+
 pkt = IP() / TCP()
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x7ccd and bpkt.payload.chksum == 0x917c
 
+Ah_dicts = {'nh': 6, 'payloadlen': 2, 'reserved': 0, 'spi': 1, 'seq': 0, 'icv': b'\x00\x00\x00\x00'}
+pkt = IP(proto=51) / AH(**Ah_dicts) / TCP()
+bpkt = IP(raw(pkt))
+assert bpkt.chksum == 0x7c90
+packetStr = transferPacket(pkt)
+tcpCheckSum = int("".join(packetStr[-4:-2]), 16)
+assert tcpCheckSum == 0x917c
+
+pkt = IPv6(nh=51) / AH(**Ah_dicts) / TCP()
+packetStr = transferPacket(pkt)
+tcpCheckSum = int("".join(packetStr[-4:-2]), 16)
+assert tcpCheckSum == 0x8f7d
+
 pkt = IP(len=40) / TCP()
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x7ccd and bpkt.payload.chksum == 0x917c
@@ -412,6 +431,18 @@ pkt = IP() / TCP() / ("A" * 10)
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x7cc3 and bpkt.payload.chksum == 0x4b2c
 
+pkt = IP(proto=51) / AH(**Ah_dicts) / TCP() / ("A" * 10)
+bpkt = IP(raw(pkt))
+assert bpkt.chksum == 0x7c86
+packetStr = transferPacket(pkt)
+tcpCheckSum = int("".join(packetStr[-14:-12]), 16)
+assert tcpCheckSum == 0x4b2c
+
+pkt = IPv6(nh=51) / AH(**Ah_dicts) / TCP() / ("A" * 10)
+packetStr = transferPacket(pkt)
+tcpCheckSum = int("".join(packetStr[-14:-12]), 16)
+assert tcpCheckSum == 0x492d
+
 pkt = IP(len=50) / TCP() / ("A" * 10)
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x7cc3 and bpkt.payload.chksum == 0x4b2c
@@ -424,6 +455,13 @@ pkt = IP(options=[IPOption_RR()]) / TCP() / ("A" * 10)
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x70bc and bpkt.payload.chksum == 0x4b2c
 
+pkt = IP(proto=51, options=[IPOption_RR()]) / AH(**Ah_dicts) / TCP() / ("A" * 10)
+bpkt = IP(raw(pkt))
+assert bpkt.chksum == 0x707f
+packetStr = transferPacket(pkt)
+tcpCheckSum = int("".join(packetStr[-14:-12]), 16)
+assert tcpCheckSum == 0x4b2c
+
 pkt = IP(len=54, options=[IPOption_RR()]) / TCP() / ("A" * 10)
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x70bc and bpkt.payload.chksum == 0x4b2c
@@ -436,10 +474,30 @@ pkt = IP(options=[IPOption_Timestamp()]) / TCP() / ("A" * 10)
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x2caa and bpkt.payload.chksum == 0x4b2c
 
+pkt = IP(proto=51, options=[IPOption_Timestamp()]) / AH(**Ah_dicts) / TCP() / ("A" * 10)
+bpkt = IP(raw(pkt))
+assert bpkt.chksum == 0x2c6d
+packetStr = transferPacket(pkt)
+tcpCheckSum = int("".join(packetStr[-14:-12]), 16)
+assert tcpCheckSum == 0x4b2c
+
 pkt = IP() / UDP()
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x7cce and bpkt.payload.chksum == 0x0172
 
+Ah_dicts = {'nh': 17, 'payloadlen': 2, 'reserved': 0, 'spi': 1, 'seq': 0, 'icv': b'\x00\x00\x00\x00'}
+pkt = IP(proto=51) / AH(**Ah_dicts) / UDP()
+bpkt = IP(raw(pkt))
+assert bpkt.chksum == 0x7c9c
+packetStr = transferPacket(pkt)
+udpCheckSum = int("".join(packetStr[-2:]), 16)
+assert udpCheckSum == 0x0172
+
+pkt = IPv6(nh=51) / AH(**Ah_dicts) / UDP()
+packetStr = transferPacket(pkt)
+udpCheckSum = int("".join(packetStr[-2:]), 16)
+assert udpCheckSum == 0xff72
+
 pkt = IP(len=28) / UDP()
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x7cce and bpkt.payload.chksum == 0x0172
@@ -455,6 +513,18 @@ pkt = IP() / UDP() / ("A" * 10)
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x7cc4 and bpkt.payload.chksum == 0xbb17
 
+pkt = IP(proto=51) / AH(**Ah_dicts) / UDP() / ("A" * 10)
+bpkt = IP(raw(pkt))
+assert bpkt.chksum == 0x7c92
+packetStr = transferPacket(pkt)
+udpCheckSum = int("".join(packetStr[-12:-10]), 16)
+assert udpCheckSum == 0xbb17
+
+pkt = IPv6(nh=51) / AH(**Ah_dicts) / UDP() / ("A" * 10)
+packetStr = transferPacket(pkt)
+udpCheckSum = int("".join(packetStr[-12:-10]), 16)
+assert udpCheckSum == 0xb918
+
 pkt = IP(len=38) / UDP() / ("A" * 10)
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x7cc4 and bpkt.payload.chksum == 0xbb17
@@ -467,6 +537,13 @@ pkt = IP(options=[IPOption_RR()]) / UDP() / ("A" * 10)
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x70bd and bpkt.payload.chksum == 0xbb17
 
+pkt = IP(proto=51, options=[IPOption_RR()]) / AH(**Ah_dicts) / UDP() / ("A" * 10)
+bpkt = IP(raw(pkt))
+assert bpkt.chksum == 0x708b
+packetStr = transferPacket(pkt)
+udpCheckSum = int("".join(packetStr[-12:-10]), 16)
+assert udpCheckSum == 0xbb17
+
 pkt = IP(len=42, options=[IPOption_RR()]) / UDP() / ("A" * 10)
 bpkt = IP(raw(pkt))
 assert bpkt.chksum == 0x70bd and bpkt.payload.chksum == 0xbb17