diff --git a/bitcoin/src/network/constants.rs b/bitcoin/src/network/constants.rs
index 7172207d..c473ffce 100644
--- a/bitcoin/src/network/constants.rs
+++ b/bitcoin/src/network/constants.rs
@@ -30,12 +30,14 @@ use core::borrow::{Borrow, BorrowMut};
 use core::convert::TryFrom;
 use core::str::FromStr;
 use core::{fmt, ops};
+use core::fmt::Display;
 
 use bitcoin_internals::{debug_from_display, write_err};
 #[cfg(feature = "serde")]
 use serde::{Deserialize, Serialize};
 
 use crate::consensus::encode::{self, Decodable, Encodable};
+use crate::constants::ChainHash;
 use crate::error::impl_std_error;
 use crate::hashes::hex::{Error, FromHex};
 use crate::io;
@@ -141,6 +143,34 @@ impl Network {
         };
         Ok(network)
     }
+
+    /// Return the network's chain hash (genesis block hash).
+    ///
+    /// # Examples
+    ///
+    /// ```rust
+    /// use bitcoin::network::constants::Network;
+    /// use bitcoin::blockdata::constants::ChainHash;
+    ///
+    /// let network = Network::Bitcoin;
+    /// assert_eq!(network.chain_hash(), ChainHash::BITCOIN);
+    /// ```
+    pub fn chain_hash(self) -> ChainHash {
+        ChainHash::using_genesis_block(self)
+    }
+
+    /// Creates a `Network` from the chain hash (genesis block hash).
+    ///
+    /// # Examples
+    ///
+    /// ```rust
+    /// use bitcoin::network::constants::Network;
+    /// use bitcoin::blockdata::constants::ChainHash;
+    /// use std::convert::TryFrom;
+    ///
+    /// assert_eq!(Ok(Network::Bitcoin), Network::try_from(ChainHash::BITCOIN));
+    /// ```
+    pub fn from_chain_hash(chain_hash: ChainHash) -> Option<Network> { Network::try_from(chain_hash).ok() }
 }
 
 /// An error in parsing network string.
@@ -186,6 +216,33 @@ impl fmt::Display for Network {
     }
 }
 
+/// Error in parsing network from chain hash.
+#[derive(Debug, Clone, PartialEq, Eq)]
+pub struct UnknownChainHash(ChainHash);
+
+impl Display for UnknownChainHash {
+    fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result {
+        write!(f, "unknown chain hash: {}", self.0)
+    }
+}
+
+impl_std_error!(UnknownChainHash);
+
+impl TryFrom<ChainHash> for Network {
+    type Error = UnknownChainHash;
+
+    fn try_from(chain_hash: ChainHash) -> Result<Self, Self::Error> {
+        match chain_hash {
+            // Note: any new network entries must be matched against here.
+            ChainHash::BITCOIN => Ok(Network::Bitcoin),
+            ChainHash::TESTNET => Ok(Network::Testnet),
+            ChainHash::SIGNET => Ok(Network::Signet),
+            ChainHash::REGTEST => Ok(Network::Regtest),
+            _ => Err(UnknownChainHash(chain_hash)),
+        }
+    }
+}
+
 /// Network magic bytes to identify the cryptocurrency network the message was intended for.
 #[derive(Copy, PartialEq, Eq, PartialOrd, Ord, Clone, Hash)]
 pub struct Magic([u8; 4]);