Verbs in Georgian can be classified syntactically and morphologically.

Morphological classification involves describing the rules of verb derivation and verb conjugation.
Syntactic classification involves describing the case markings of the subject and objects of the verb.
Syntactic classification is quite simple. Morphological classification is bit more complex. The main schemes are given below.

Syntactic classification
There are three verb classes, corresponding to the three clusters of case marking and person/number marking, distinguished in Georgian. These three groups are presented below (cf. Table 1). For a substantial number of the verbs following pattern (B), the semantic correlate active subject is appropriate, also called direct verbs. The term inversive verbs is used for verbs behaving according to pattern (C). Such verbs may be characterized as having experiencer subjects. They are not agentive: subject does not act by itself but it is rather the target of some incoming emotion or stimuli (cf. also Inversion). Remaining verbs pattern according to (A) and are not distinguished by those parameters. The term used for such verbs is neutral verbs (in Western linguistics) or passive verbs (Georgian grammar tradition).

The choice of person/number-markers in the verb and the patterning of case marking of the verb complements (objects) occur in three clusters. The recurring patterns are represented in Table 1.

Pattern A

The verbs that pattern according to (A) are a rather heterogeneous group. They may have one, two or three arguments, but do not express transitive relations. The examples below show a verb with two arguments following pattern (A). The verb contains the relational marker e- e- that is associated with the object, deda-s deda-s mother-DAT, corresponding to a prepositional object in the English translation.
 

	(I)	bavSv-i deda-s e-mal-eb-a bavshv-i deda-s e-mal-eb-a child-Nom mother-Dat Rel.marker-hide-Them.sufix-IIISubject.Singular.Present The child hides from (its) mother.
	(II)	bavSv-i deda-s da-e-mal-a bavshv-i deda-s da-e-mal-a child-Nom mother-Dat Preverb-Relational marker-hide-IIISubject person. Singular. Aorist The child hid from (its) mother.
	(III)	bavSv-i deda-s da-malv-ia bavshv-i deda-s da-mal-v-ia child-Nom mother-Dat Preverb-hide-Them.suffix-Perf (Apparently, it turns out) the child has hidden from (its) mother.

Some other examples of the same type:
 

(I)	kac-i dga-s magida-ze k'ac-i dga-s magida-ze man-Nom stand-IIISubj.pers.Pres. table-on The man stands on the table.
(II)	kac-i idg-a magida-ze k'ac-i idg-a magida-ze man-Nom stand-IIISubj.pers.Aor table-on The man stood on the table.
(III)	kac-i mdgar-a magida-ze k'ac-i mdgar-a magida-ze man-Nom stand-IIISubj.pers.Perf. table-on It turns out that the man has stood on the table.

 
 

(I)	weril-i i-wereb-a c'eril-i i-c'ereb-a letter-Nom Pass-write-IIISubj.pers.Pres  The letter is being written
(II)	weril-i da-i-wer-a c'eril-i da-i-c'er-a letter-Nom Preverb-Pass-write-IIISubj.pers.Aor The letter has been written
(III)	weril-i da-wer-il-a c'eril-i  da-c'eril-a letter-Nom Preverb-write-IIISubj.pers.Perf. It turns out that the letter has been written.

More information:
Transitive verbs in Georgian

Semantic definition of transitive verbs
Formal definition of transitive verbs
Semantic definition of direct and indirect objects
Formal definition of direct and indirect objects

First, some examples of three valent verbs (verbs having subject and two objects - direct object and inditect object): swers sc'ers he writes him it, vaCuqeb vachukeb I give him it (as a present), vparav vp'arav I steal it from him and vubrZaneb vubrdzaneb I order him it. In the third tense/aspect/mood-series, such verbs do not accomodate a marker for an indirect object; instead the indirect object appears as a postpositional phrase (instead of indirect object, an object with the postposition -Tvis -tvis appears).
 

	(I)	kac-i Zma-s weril-s s-wer-s k'ac-i dzma-s c'eril-s s-c'er-s man-Nom. brother-Dat. letter-Dat.  III Indirect obj.pers.mark.-write-IIISubj.pers.  marker.Present The man writes a letter to his brother
	(II)	kac-ma Zma-s weril-i mi-s-wer-a k'ac-ma dzma-s c'eril-i mi-s-c'er-a man-Erg brother-Dat letter-Nom Preverb-III Indirect obj.pers.mark.-write-IIISubj. pers.marker.Aorist The man wrote a letter to his brother
	(III)	kac-s Zm-is-(a)-Tvis weril-i mi-u-wer-ia k'ac-s dzm-is-(a)-tvis c'eril-i mi-u-c'er-ia man-Dat brother-Gen-(emphatic vowel)-posposition for letter-Nom Preverb-Relational marker-write-Perfect (It turns out that/Apparently) the man has written a letter to his brother

Transitive verbs like vwer vc'er  I write it, vxatav vxat'av I build it, vaSeneb vasheneb I build it, pattern in the same way, with the exception that they do not have any indirect object.
 

	(I)	(me) weril-s v-wer (me) c'eril-s v-c'er (I) letter-Dat. ISubject person marker-write-Present I write a letter
	(II)	(me) weril-i da-v-wer-e  (me) c'eril-i da-v-c'ere  (I)  letter-Nom Preverb-ISubject person marker-write-Aorist I wrote a letter
	(III)	(me) weril-i da-m-i-wer-ia  (me) c'eril-i da-m-i-c'er-ia  (I) letter-Nom Preverb-I Object person marker-Relational marker-write-Perfect (It turns out that/Apparently) I have written a letter

When comparing the marking of case and person/number in the third tense/aspect-series to the marking in the first and second series, one can observe a "reverse" pattern. The m-series markers/dative case, that were associated with the object positions, are linked to the subject position in the third tense/aspect-series. Conversely, the v-series markers/nominative mark the direct object in the third tense/aspect-series. This "reverse" marking has been called inversion;  the subject is marked by the m-series markers in and the object by the v-markers (cf also Inversion).

Examples of one valent activity verbs following pattern (B) include vcekvav vcek'vav I dance (Conjugation type 3), vtiri vt'iri I am crying (Conjugation type 4), duRs dughs it boils (Conjugation type 5). Some of these verbs are compatible with "content" objects, i.e. "to dance a dance" or quantifier phrases like bevri bevri "a lot", that is case marked as a direct object.
 

	(I)	is cekv-av-s  (bevr-s) is cek'v-av-s (bevr-s) he-Nom  dance-Them. suffix-III Subject person marker.Sg.Present (a lot-Dat) He dances (a lot)
	(II)	man i-cekv-a (bevri) man i-cek'v-a (bevr-i) he-Erg  Rel.mark.-dance-III Subject person marker.Sg.Aor He danced (a lot)
	(III)	ma-s u-cekv-ia (bevri) ma-s u-cek'v-ia he-Dat Rel.mark.-dance-Perf  Apparently he has danced (a lot).

Note that the terms inversive, direct and neutral verbs will be used as referring to verbs selecting those marking patterns (A-C) described above in combination with certain semantic correlates. There is not a perfect correlation between the semantic correlates "active" and "experiencer" subjects and the verbs selecting marking patterns (B) and (C), respectively. Rather, if a predicate has an "active" subjects, then pattern (B) is the unmarked choice and if it has an experiencer subject, then pattern (C) is appropriate (= inversive verbs)
 
 

More information:
Morphological classification
Voice of verb in Georgian