There are several factors affect the use of certain software, such as, cost, type of analysis, available data and the skills of your research team. a long discussion has been posted about three years ago at this site on same question, you may go through it

https://www.researchgate.net/post/What_is_the_best_statistical_program_can_be_used_for_multivariate_analysis/7

best regards

I have been using R for all my analysis, including multivariate ones.

 I can recommend  SAS or R. R is free, but SAS is quite expensive. But students and teachers at universities have usually access to quite cheap academic licence (which is anyway paid by university - for students/teachers it is then also free). From my point of view the SAS is easier and multivariate procedures are well proposed. 

Be a little little bit careful on SAS. I was teaching with SAS and my University dropped the site license. To make a long story short they wanted my students to pay $150(some years ago-I don't know the current cost for a 1 year set of CDs that only had BASE SAS and a few other PROCs). My students switched to R(open source free ware) and we never looked back. If a student wanted to purchase the SAS CDs s/he was welcome to do so but few did unless their departments required it. If they did the student could choose either package to use in my courses. Best wishes, David

i usually use SPSS/IBM -19 for my analysis. need license.

There's also a very good R package FactoMineR.

https://cran.r-project.org/web/packages/FactoMineR/index.html

Go for R or python.

Python and R, both are free and have very good libraries to perform multivariate analysis.

In python you have scikit, scipy and in R you can play with ade4 and vegan.

If you're not familiar with coding, then SPSS/SAS are good options.

Dear Nuwan

The choice of the software depends on your experience, you can use SAS but you need good training, but by use SPSS you will need simple training.

I hope the following link will be useful for you:

http://www.ucdenver.edu/academics/colleges/nursing/Documents/PDF/MANOVAHowTo.pdf

Good Luck