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First of all, entropy is the defined as the extent to which something is disordered. In chemistry, for entropy in a SYSTEM to decrease, the products of a reaction must be less disordered than the reactants. The extent of "disordered-ness" can be seen by the physical states of the substances. A gas is more disordered than a liquid, which is more disordered than a solid. So, an example of a reaction that leads to a decrease in entropy is:

HCl(gas) +NH3(gas) -----> NH4Cl(solid)

So you see, there are more gaseous molecules in the reactant side of the equation than in the product side, which means the products are less disordered than the reactants.

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However, one must note that if the entropy of a system(reaction) decreases, the entropy of the surroundings should increase. This is because

change in TOTAL entropy(A) = change in entropy of SYSTEM(B) + change in entropy of SURROUNDINGS(C).

It is a rule that A must increase in every case ( have a positive value). If the B is negative(a decrease in entropy), C must be positive(an increase in entropy) to keep the value of A positive.

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Entropy can decrease in a system if energy is removed or transferred elsewhere, causing a decrease in randomness or disorder within the system. This could occur, for example, if the system undergoes a phase transition where the molecules become more ordered or structured.

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Entropy of a system can decrease if entropy of the environment increases. One example is heat rejection.

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CO2(g)-->CO2(l)

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air escaping from a tire

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dehydration reactions

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Decrease of entropy is order.

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water freezing

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Q: Under what condition can entropy decrease in a system?
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