I am also having this problem for some site I am using My server as Forwarder to client query .

We are facing issue with specific domain dig @10.89.0.1 tgh-api.cloudmi.datami.com
;;Got SERVFAIL reply from 127.0.0.1, trying next server
Server: 8.8.8.8
Address: 8.8.8.8#53

Non-authoritative answer:
Name: tgh-api.cloudmi.datami.com
Address: 52.58.141.204

But we can resolve other sites like google & yahoo.com it is working fine .

Hi and welcome to LQ,

Is your dns authoritative for the domain tgh-api.cloudmi.datami.com? FYI I can also resolve it from here.
You should post more details, like config files (masking sensitive data if you like), logs etc, so we could have something to look into.

Regards

My DNs configuration

options {

# The directory statement defines the name server's working directory

directory "/var/lib/named";

# Write dump and statistics file to the log subdirectory. The
# pathenames are relative to the chroot jail.

dump-file "/var/log/named_dump.db";
statistics-file "/var/log/named.stats";

# The forwarders record contains a list of servers to which queries
# should be forwarded. Enable this line and modify the IP address to
# your provider's name server. Up to three servers may be listed.

#forwarders { 192.0.2.1; 192.0.2.2; };

# Enable the next entry to prefer usage of the name server declared in
# the forwarders section.

#forward first;

# The listen-on record contains a list of local network interfaces to
# listen on. Optionally the port can be specified. Default is to
# listen on all interfaces found on your system. The default port is
# 53.

listen-on port 53 { 127.0.0.1;10.89.0.1;};

# The listen-on-v6 record enables or disables listening on IPv6
# interfaces. Allowed values are 'any' and 'none' or a list of
# addresses.

listen-on-v6 { any; };

# The next three statements may be needed if a firewall stands between
# the local server and the internet.

query-source address * port 53;
#transfer-source * port 53;
#notify-source * port 53;

# The allow-query record contains a list of networks or IP addresses
# to accept and deny queries from. The default is to allow queries
# from all hosts.

#allow-query { 127.0.0.1; };

# If notify is set to yes (default), notify messages are sent to other
# name servers when the the zone data is changed. Instead of setting
# a global 'notify' statement in the 'options' section, a separate
# 'notify' can be added to each zone definition.

notify no;
include "/etc/named.d/forwarders.conf";
allow-query {any;};
recursion yes;
};

# To configure named's logging remove the leading '#' characters of the
# following examples.
#logging {
# # Log queries to a file limited to a size of 100 MB.
# channel query_logging {
# file "/var/log/named_querylog"
# versions 3 size 100M;
# print-time yes; // timestamp log entries
# };
# category queries {
# query_logging;
# };
#
# # Or log this kind alternatively to syslog.
# channel syslog_queries {
# syslog user;
# severity info;
# };
# category queries { syslog_queries; };
#
# # Log general name server errors to syslog.
# channel syslog_errors {
# syslog user;
# severity error;
# };
# category default { syslog_errors; };
#
# # Don't log lame server messages.
# category lame-servers { null; };
#};

# The following zone definitions don't need any modification. The first one
# is the definition of the root name servers. The second one defines
# localhost while the third defines the reverse lookup for localhost.

zone "." in {
type hint;
file "root.hint";
};

zone "localhost" in {
type master;
file "localhost.zone";
};

zone "0.0.127.in-addr.arpa" in {
type master;
file "127.0.0.zone";
};

# Include the meta include file generated by createNamedConfInclude. This
# includes all files as configured in NAMED_CONF_INCLUDE_FILES from
# /etc/sysconfig/named

include "/etc/named.conf.include";
logging {
category default { log_syslog; };
channel log_syslog { syslog; };
};

We are using this server for browsing only nothing else

You mean as a resiolver.

So what's the deal with the domain tgh-api.cloudmi.datami.com?

We are not able to resolve this domain from the server it using nslookup

named[54431]: sockmgr 0x7f8916743010: maximum number of FD events (64) received

named[54431]: error (network unreachable) resolving 'serviceinfo.sdk.duomi.com/A/IN': 2001:503:a83e::2:30#53

You may disable ipv6 and see if it helps. Read your distro's documentation on how to do that