About:

You can moittoring your tomcat with custom settings by using the template below. 

Which template to be used depends on the ObjectName of your Mbean. You can get Mbean data through jconcole of JDK or cmdline-jmxclient-0.10.3.jar(not recommend) after setting on the zabbix-agent has done.
ObjectName:Catalina:type=ThreadPool,name=ajp-bio-8080 (non-double-quotations) matches zbx_JMX-tomcat-old-version-with-macros_template.xml 
ObjectName:Catalina:type=ThreadPool,name="ajp-bio-8080"(double-quotations) matches zbx_JMX-tomcat-with-macros_template.xml

There are 7 macros defiended on the templates. You can add Macros on the hosts(High priority than the templates) to overwrite it.

{$AJP_CONNECTOR_DESC}:jk(default on tomcat 6?not formirmed)|ajp-bio(default on tomcat 7)|ajp-nio(default on tomcat 8)
#{$AJP_CONNECTOR_PORT}:8009 (default)
{$HTTP_CONNECTOR_DESC}:http-bio|http-nio|http
{$HTTP_CONNECTOR_PORT}:80|8080(default)
{$SSL_CONNECTOR_DESC}:http-bio(default on tomcat 7)
{$SSL_CONNECTOR_PORT}:8443(default)
{$SERVICE_HOST_NAME}:localhost (default)
{$SERVICE_HOST_PATH}:/ (default)

Requirement:
1. Check the Tomcat version:
sh /path/to/your/tomcat/bin/catalina.sh version
2. Get $URL of catalina-jmx-remote.jar that matches tomcat version via http://mvnrepository.com/artifact/org.apache.tomcat/tomcat-catalina-jmx-remote
3. Confirm the $IP address of your hosts.(eg:172.27.4.105)
4. Confirm the ProtocolHander of connector (bio|nio|apr)

Getting start:
Setting on the zabbix-agent.

step 1: vim /path/to/your/tomcat/bin/catalina.sh
Replease 172.27.4.105 by your $IP and insert the these lines ahead of the first non-comment line of the catalina.sh.
CATALINA_OPTS="-Dcom.sun.management.jmxremote \
               -Dcom.sun.management.jmxremote.authenticate=false \
               -Dcom.sun.management.jmxremote.ssl=false \
               -Djava.rmi.server.hostname=172.27.4.105"

step 2:vim /path/to/your/tomcat/conf/server.xml
Add this line next the the last line of <Listener className=""/>
<Listener className="org.apache.catalina.mbeans.JmxRemoteLifecycleListener" rmiServerPortPlatform="12346" rmiRegistryPortPlatform="12345"/>

step 3 :
Download the maches catalina-jmx-remote.jar $URL to your /path/to/your/tomcat/lib/
wget $URL -O /path/to/your/tomcat/lib/catalina-jmx-remote.jar

step 4 :
Allow access to port 10050,12345,12346 if the firewall is started.

Setting on the zabbix-server.

step 1 : Import the right Template to your zabbix-server web interface. 
step 2 : Add JMX interface:$IP:12345
step 3 : Link the template to the host.
setp 4 : Add Macros on the host if your setting of tomcat does not matched the default Macros on the templates.

Reference Documents:
https://www.zabbix.com/documentation/2.4/manual/config/items/itemtypes/jmx_monitoring
https://www.zabbix.com/documentation/2.4/manual/concepts/java
Monitoring and Management Using JMX:http://docs.oracle.com/javase/1.5.0/docs/guide/management/agent.html
JMX cannot connect through firewalls:https://support.zabbix.com/browse/ZBX-5326