How do Buddhist practice the act of worship?

Here is the pure Buddhist (Therawada) way of worshiping(respecting).

According to the Lord Buddha if some one recollect the virtues(qualities) of the Three Jewels it will diffidently merit for him in this life and next lives.

Namo tassa bhagavato arahato sammā-sambuddhassa.

(Homage to the Blessed One, the Worthy One, the Rightly Self-awakened One.)

1. Take refuge in Three Jewels.
2. Encouraged to follow five precepts (Sila).
3. Recollection of the Qualities of the Buddha.
4. Recollection of the Qualities of the Dhamma.
5. Recollection of the Qualities of the Sangha.

There are many different types of Buddhism and so many different ways of 'worshipping'. I can confidently speak of my own Buddhist practice - Nicherin Diashonin;

Every morning and evening I chant "Nam-Moho-Renge-Kyo" many times whilst facing my gohonzon - which is an inscribed scripture encompassing the basic teachings of this Buddhism and reflecting my life. It is like a mirror I sit at every day to encourage my Buddhahood to shine though and show itself to the world.

Basically its s bit like meditation in daily life but an active, adaptable and useable energy force available for anyone to tap into whenever they want to.

Lots more info at: www.sgi-UK/org