If you’re unwilling to experience difficult emotions, then you’re going to preclude yourself from things like relationships, fitness or career. To combat this, you need to develop a discipline of risk-taking, forcing yourself to do things you wouldn’t do and make that a regular part of your life. The point isn’t to cure neuroticism but to counterbalance it. The opposite of anxiety is exploration.

2. Seek Adventure 

In the Buddhist tradition this is called self compassion. With self-compassionyou’re holding your own hand, befriending the emotion, make empathy intrapersonal.In a formal practice it would go like this: Spend five or seven minutes in body-based mindfulness, which sets the table and gets you out of your head, then summon an emotion that you’re having difficulty with — heartache, anxiety about work, regret about the thing you did last weekend — and wish yourself well. The four slogans used in Tibetan meditation are: May I be happy, May I be safe, May I be at ease, May I be healthy.

6. Befriend yourself

"Negative emotion" makes it sound like it's something you need to get rid of. Dalai Lama conceptualizes it as: Rather than calling sadness or anger a negative emotion, call it what it rightly is — a difficult emotion.

1. Reframe “negative” to “difficult.”

Don’t believe everything you think. Dispositional mindfulness — or the quality of generally being aware of what you’re thinking and feeling — has been shown to lessen the depressive effects of neuroticism. Meditation also allows you to nonjudgmentally attend to your own emotions, even if they don’t make you comfortable.

5. Hold your thoughts with a looser grip

Internally, having a fine-grained understanding of your emotional states can be liberating. When people can describe their emotional states with complexity they experience all sorts benefits, like less <a href="http://pss.sagepub.com/content/21/9/1341.short">alcoholism</a> or <a href="https://www.ncbi.nlm.nih.gov/pubmed/22023359">aggression</a> and more <a href="http://www.affective-science.org/pubs/2001/01MaprelationDiffReg.pdf">“emotion regulation,”</a> or being able to keep your psychological footing when things get bumpy.

3. Get more granular.

The actual act of putting those states into words grants relief. Expressively writing for 20 minutes a day for three days has shown to help people become less depressed, less anxious, and take fewer visits to the doctor.

4. Put It Into Words 

In the Big 5 Model of personality traits, being a neurotic not only disposes you to anxiety and other negative emotions, but to spending lots of time ruminating about all those feelings. Negative feelings will lead a nuerotic person to either internalize, withdrawing into their insecurities and ruminations, or externalize, getting angry, irritable, or impulsive. In order to deal with this, they'll attempt to suppress negative feelings and risk developing disordered behaviors, which, essentially, are people’s ill-fated attempts to feel better.

3. Get more granular.

Similar ideas to 3. Get more granular.

How to Keep Resentment From Controlling Us

Uses for empathy

7 Things You Need To Understand About Anxiety And Depression