diff --git a/cmdmon.c b/cmdmon.c
index c9ce0e9..f79d282 100644
--- a/cmdmon.c
+++ b/cmdmon.c
@@ -654,7 +654,7 @@ transmit_reply(CMD_Reply *msg, struct sockaddr_in *where_to)
   status = sendto(sock_fd, (void *) msg, tx_message_length, 0,
                   (struct sockaddr *) where_to, sizeof(struct sockaddr_in));
 
-  if (status < 0) {
+  if (status < 0 && !LOG_RateLimited()) {
     remote_ip = ntohl(where_to->sin_addr.s_addr);
     remote_port = ntohs(where_to->sin_port);
     LOG(LOGS_WARN, LOGF_CmdMon, "Could not send response to %s:%hu", UTI_IPToDottedQuad(remote_ip), remote_port);
@@ -1659,7 +1659,9 @@ read_from_cmd_socket(void *anything)
   }
 
   if (read_length != expected_length) {
-    LOG(LOGS_WARN, LOGF_CmdMon, "Read incorrectly sized packet from %s:%hu", UTI_IPToDottedQuad(remote_ip), remote_port);
+    if (!LOG_RateLimited()) {
+      LOG(LOGS_WARN, LOGF_CmdMon, "Read incorrectly sized packet from %s:%hu", UTI_IPToDottedQuad(remote_ip), remote_port);
+    }
     if (allowed)
       CLG_LogCommandAccess(remote_ip, CLG_CMD_BAD_PKT, cooked_now.tv_sec);
     /* For now, just ignore the packet.  We may want to send a reply
@@ -1673,13 +1675,11 @@ read_from_cmd_socket(void *anything)
        regardless of the defined access rules - otherwise, we could
        shut ourselves out completely! */
 
-    /* We ought to find another way to log this, there is an attack
-       here against the host because an adversary can just keep
-       hitting us with bad packets until our log file(s) fill up. */
-
-    LOG(LOGS_WARN, LOGF_CmdMon, "Command packet received from unauthorised host %s port %d",
-        UTI_IPToDottedQuad(remote_ip),
-        remote_port);
+    if (!LOG_RateLimited()) {
+      LOG(LOGS_WARN, LOGF_CmdMon, "Command packet received from unauthorised host %s port %d",
+          UTI_IPToDottedQuad(remote_ip),
+          remote_port);
+    }
 
     tx_message.status = htons(STT_NOHOSTACCESS);
     transmit_reply(&tx_message, &where_from);
@@ -1764,7 +1764,7 @@ read_from_cmd_socket(void *anything)
       tx_message_length = PKL_ReplyLength(prev_tx_message);
       status = sendto(sock_fd, (void *) prev_tx_message, tx_message_length, 0,
                       (struct sockaddr *) &where_from, sizeof(where_from));
-      if (status < 0) {
+      if (status < 0 && !LOG_RateLimited()) {
         LOG(LOGS_WARN, LOGF_CmdMon, "Could not send response to %s:%hu", UTI_IPToDottedQuad(remote_ip), remote_port);
       }
       return;
@@ -1884,7 +1884,7 @@ read_from_cmd_socket(void *anything)
 
         case REQ_LOGON:
           /* If the log-on fails, record the reason why */
-          if (!issue_token) {
+          if (!issue_token && !LOG_RateLimited()) {
             LOG(LOGS_WARN, LOGF_CmdMon,
                 "Bad command logon from %s port %d (md5_ok=%d valid_ts=%d)\n",
                 UTI_IPToDottedQuad(remote_ip),
diff --git a/logging.c b/logging.c
index d432762..8311640 100644
--- a/logging.c
+++ b/logging.c
@@ -40,6 +40,8 @@ static int initialised = 0;
 
 static int is_detached = 0;
 
+static time_t last_limited = 0;
+
 #ifdef WINNT
 static FILE *logfile;
 #endif
@@ -214,3 +216,19 @@ LOG_GoDaemon(void)
 }
 
 /* ================================================== */
+
+int
+LOG_RateLimited(void)
+{
+  time_t now;
+
+  now = time(NULL);
+
+  if (last_limited + 10 > now && last_limited <= now)
+    return 1;
+
+  last_limited = now;
+  return 0;
+}
+
+/* ================================================== */
diff --git a/logging.h b/logging.h
index 6e73dbb..41975ec 100644
--- a/logging.h
+++ b/logging.h
@@ -84,6 +84,9 @@ extern void LOG_Position(const char *filename, int line_number, const char *func
 
 extern void LOG_GoDaemon(void);
 
+/* Return zero once per 10 seconds */
+extern int LOG_RateLimited(void);
+
 /* Line logging macro.  If the compiler is GNU C, we take advantage of
    being able to get the function name also. */
 #if defined(__GNUC__)
diff --git a/ntp_core.c b/ntp_core.c
index 60d433c..9576296 100644
--- a/ntp_core.c
+++ b/ntp_core.c
@@ -1358,7 +1358,7 @@ process_known
                         &inst->local_ntp_tx,
                         &inst->remote_addr);
 
-      } else {
+      } else if (!LOG_RateLimited()) {
         LOG(LOGS_WARN, LOGF_NtpCore, "NTP packet received from unauthorised host %s port %d",
             UTI_IPToDottedQuad(inst->remote_addr.ip_addr),
             inst->remote_addr.port);
@@ -1526,7 +1526,7 @@ NCR_ProcessNoauthUnknown(NTP_Packet *message, struct timeval *now, NTP_Remote_Ad
                       remote_addr);
       
     }
-  } else {
+  } else if (!LOG_RateLimited()) {
     LOG(LOGS_WARN, LOGF_NtpCore, "NTP packet received from unauthorised host %s port %d",
         UTI_IPToDottedQuad(remote_addr->ip_addr),
         remote_addr->port);
diff --git a/ntp_io.c b/ntp_io.c
index afb6ad1..aaa3cbc 100644
--- a/ntp_io.c
+++ b/ntp_io.c
@@ -243,7 +243,8 @@ NIO_SendNormalPacket(NTP_Packet *packet, NTP_Remote_Address *remote_addr)
   remote.sin_addr.s_addr = htonl(remote_addr->ip_addr);
 
   if (sendto(sock_fd, (void *) packet, NTP_NORMAL_PACKET_SIZE, 0,
-             (struct sockaddr *) &remote, sizeof(remote)) < 0) {
+             (struct sockaddr *) &remote, sizeof(remote)) < 0 &&
+      !LOG_RateLimited()) {
     LOG(LOGS_WARN, LOGF_NtpIO, "Could not send to %s:%d : %s",
         UTI_IPToDottedQuad(remote_addr->ip_addr), remote_addr->port, strerror(errno));
   }
@@ -266,7 +267,8 @@ NIO_SendAuthenticatedPacket(NTP_Packet *packet, NTP_Remote_Address *remote_addr)
   remote.sin_addr.s_addr = htonl(remote_addr->ip_addr);
 
   if (sendto(sock_fd, (void *) packet, sizeof(NTP_Packet), 0,
-             (struct sockaddr *) &remote, sizeof(remote)) < 0) {
+             (struct sockaddr *) &remote, sizeof(remote)) < 0 &&
+      !LOG_RateLimited()) {
     LOG(LOGS_WARN, LOGF_NtpIO, "Could not send to %s:%d : %s",
         UTI_IPToDottedQuad(remote_addr->ip_addr), remote_addr->port, strerror(errno));
   }