In simple words, a relationship is platonic if there is no physical intimacy or sexual activity between you and the other person, even if the desire is there. 

Source : Pinterest 

Several terms are used to denote platonic love. These include: 

1. Bromance 

The phrase refers to an intimate, loving, non-sexual relationship between two men. 

2. Womance 

The term refers to an emotional, non-sexual, non-romantic relationship between two women. 

3. Work Spouse 

Work spouse is sometimes used to indicate a tight, non-sexual type of love between co-workers. 

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Also read "Signs you are in a Platonic Friendship".